Wikipedia:WikiProject Mathematics/PlanetMath Exchange/46-XX Functional analysis: Difference between revisions
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==46-00 General reference works (handbooks, dictionaries, bibliographies, etc.)==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4434 T_f is a distribution of zeroth order], id=4434 -- WP: [[Distribution (mathematics)|Distribution]] -- Status:
::PM article is a proof which is not included in WP; WP doesn't even define the ''order'' of a distribution. [[User:Jitse Niesen|Jitse Niesen]] 13:32, 31 Jan 2005 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4473 \operatorname{p.\!v.}(\frac{1}{x}) is a distribution of first order], id=4473 -- WP: [[Distribution (mathematics)|distribution]] -- Status:
::PM article is a proof which is not included in WP; p.v. (1/x) is a nice example of a distribution which should be mentioned in WP. Connection with [[renormalization]]? [[User:Jitse Niesen|Jitse Niesen]] 13:32, 31 Jan 2005 (UTC)
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* PM: [http://planetmath.org/?op=getobj&from=objects&id=4468 delta distribution], id=4468 -- WP guess: [[delta distribution]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4427 distribution], id=4427 -- WP guess: [[Distribution (mathematics)|distribution]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4433 every locally integrable function is a distribution], id=4433 -- WP guess: [[every locally integrable function is a distribution]] -- Status:
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* PM: [http://planetmath.org/?op=getobj&from=objects&id=4484 support of distribution], id=4484 -- WP guess: [[support of distribution]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4528 symmetric set], id=4528 -- WP guess: [[symmetric set]] -- Status: '''C'''
*:[[User:TakuyaMurata|Taku]] ([[User talk:TakuyaMurata|talk]]) 00:38, 3 April 2009 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=
* PM: [http://planetmath.org/?op=getobj&from=objects&id=
* PM: [http://planetmath.org/?op=getobj&from=objects&id=
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6723 weak convergence], id=6723 -- WP guess: [[weak convergence]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8219 Hilbert basis], id=8219<sup style="color:red">new!</sup> -- WP guess: [[Hilbert basis]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9771 invariant subspace problem], id=9771<sup style="color:red">new!</sup> -- WP guess: [[invariant subspace problem]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8208 modular mappings in vector spaces over the field of complex numbers], id=8208<sup style="color:red">new!</sup> -- WP guess: [[modular mappings in vector spaces over the field of complex numbers]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8374 modular space], id=8374<sup style="color:red">new!</sup> -- WP guess: [[modular space]] -- Status:
==46A03 General theory of locally convex spaces==
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:: [[User:Oleg Alexandrov|Oleg Alexandrov]] ([[User talk:Oleg Alexandrov|talk]]) 19:16, 20 November 2005 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7251 proof of Krein-Milman theorem], id=7251
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6855 weak-* topology], id=6855
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9703 anti-cone], id=9703<sup style="color:red">new!</sup> -- WP guess: [[anti-cone]] -- Status:
==46A08 Barrelled spaces, bornological spaces==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8902 barrel], id=8902<sup style="color:red">new!</sup> -- WP guess: [[barrel]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8003 bornological space], id=8003<sup style="color:red">new!</sup> -- WP guess: [[bornological space]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8004 bounded set], id=8004<sup style="color:red">new!</sup> -- WP guess: [[bounded set]] -- Status:
==46A20 Duality theory==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9667 hyperplane separation], id=9667<sup style="color:red">new!</sup> -- WP guess: [[hyperplane separation]] -- Status:
==46A30 Open mapping and closed graph theorems; completeness (including $B$-, $B r$-completeness)==
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* PM: [http://planetmath.org/?op=getobj&from=objects&id=6472 proof of closed graph theorem], id=6472 -- WP: [[proof of closed graph theorem]] -- Status: '''N'''
:: [[User:Oleg Alexandrov|Oleg Alexandrov]] ([[User talk:Oleg Alexandrov|talk]]) 19:01, 20 November 2005 (UTC)
==46A40 Ordered topological linear spaces, vector lattices==
==46A55 Convex sets in topological linear spaces; Choquet theory==
Line 88 ⟶ 112:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=5587 proof that the convex hull of S is open if S is open], id=5587 -- WP guess: [[proof that the convex hull of S is open if S is open]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7137 conical neighborhood], id=7137
==46A99 Miscellaneous==
Line 100 ⟶ 124:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=1744 topological vector space], id=1744 -- WP guess: [[topological vector space]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6911 proof of Heine-Cantor theorem], id=6911
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9857 Riesz representation theorem (of linear functionals on function spaces)], id=9857<sup style="color:red">new!</sup> -- WP guess: [[Riesz representation theorem (of linear functionals on function spaces)]] -- Status:
==46Axx Topological linear spaces and related structures==
==46B03 Isomorphic theory (including renorming) of Banach spaces==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4315 hyperbolic isomorphism], id=4315 -- WP guess: [[hyperbolic isomorphism]] -- Status:
==46B04 Isometric theory of Banach spaces==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8524 Mazur-Ulam theorem], id=8524<sup style="color:red">new!</sup> -- WP guess: [[Mazur-Ulam theorem]] -- Status:
==46B07 Local theory of Banach spaces==
Line 118 ⟶ 150:
::[[User:AdamSmithee|AdamSmithee]] 15:38, 3 February 2006 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6917 Proof of Banach-Alaoglu theorem], id=6917
==46B15 Summability and bases==
==46B20 Geometry and structure of normed linear spaces==
Line 140 ⟶ 174:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=91 vector norm], id=91 -- WP guess: [[vector norm]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6967 sub-linear], id=6967
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9087 Golab's theorem], id=9087<sup style="color:red">new!</sup> -- WP guess: [[Golab's theorem]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9086 normed plane], id=9086<sup style="color:red">new!</sup> -- WP guess: [[normed plane]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8823 nuclear space], id=8823<sup style="color:red">new!</sup> -- WP guess: [[nuclear space]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7704 properties of Minkowski's functional], id=7704<sup style="color:red">new!</sup> -- WP guess: [[properties of Minkowski's functional]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=92 vector p-norm], id=92<sup style="color:red">new!</sup> -- WP guess: [[vector p-norm]] -- Status:
==46B25 Classical Banach spaces in the general theory==
Line 152 ⟶ 196:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4455 Schauder fixed point theorem], id=4455 -- WP guess: [[Schauder fixed point theorem]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8125 Tychonoff fixed point theorem], id=8125<sup style="color:red">new!</sup> -- WP guess: [[Tychonoff fixed point theorem]] -- Status:
==46B99 Miscellaneous==
Line 185 ⟶ 231:
::[[User:AdamSmithee|AdamSmithee]] 10:25, 6 February 2006 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7519 all norms are not equivalent], id=7519
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6703 extended norm], id=6703
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7458 scaling of the open ball in a normed vector space], id=7458
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7092 shift operators in \ell^p], id=7092
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9864 approximation property], id=9864<sup style="color:red">new!</sup> -- WP guess: [[approximation property]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9751 necessary and sufficient conditions for a normed vector space to be a Banach space], id=9751<sup style="color:red">new!</sup> -- WP guess: [[necessary and sufficient conditions for a normed vector space to be a Banach space]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9749 quotient norm], id=9749<sup style="color:red">new!</sup> -- WP guess: [[quotient norm]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9750 quotients of Banach spaces by closed subspaces are Banach spaces under the quotient norm], id=9750<sup style="color:red">new!</sup> -- WP guess: [[quotients of Banach spaces by closed subspaces are Banach spaces under the quotient norm]] -- Status:
==46Bxx Normed linear spaces and Banach spaces; Banach lattices==
==46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)==
Line 212 ⟶ 268:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6239 Rellich selection theorem], id=6239 -- WP guess: [[Rellich selection theorem]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=5963 Riesz sequence], id=5963 -- WP
::Along with [[Riesz basis]]. [[User:Bjcairns|Ben Cairns]] 12:55, 18 April 2006 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7271 \vert\langle Tv,v \rangle\vert \leq {\mu} \Vert v \Vert ^2 for all v implies \Vert T \Vert \leq {\mu}], id=7271
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7691 example of non-separable Hilbert space], id=7691<sup style="color:red">new!</sup> -- WP guess: [[example of non-separable Hilbert space]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8227 generalization of the parallelogram law], id=8227<sup style="color:red">new!</sup> -- WP guess: [[generalization of the parallelogram law]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8228 Hlawka's inequality], id=8228<sup style="color:red">new!</sup> -- WP guess: [[Hlawka's inequality]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8205 parallelogram law], id=8205<sup style="color:red">new!</sup> -- WP guess: [[parallelogram law]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8229 proof of generalization of the parallelogram law], id=8229<sup style="color:red">new!</sup> -- WP guess: [[proof of generalization of the parallelogram law]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8211 proof of parallelogram law], id=8211<sup style="color:red">new!</sup> -- WP guess: [[proof of parallelogram law]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7967 Schur's condition for a matrix to be a bounded operator on l^2], id=7967<sup style="color:red">new!</sup> -- WP guess: [[Schur's condition for a matrix to be a bounded operator on l^2]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8214 yet another proof of parallelogram law], id=8214<sup style="color:red">new!</sup><sup style="color:red">new!</sup> -- WP guess: [[yet another proof of parallelogram law]] -- Status:
==46C15 Characterizations of Hilbert spaces==
Line 221 ⟶ 294:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6127 proof of classification of separable Hilbert spaces], id=6127 -- WP guess: [[proof of classification of separable Hilbert spaces]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8100 Banach spaces with complemented subspaces], id=8100<sup style="color:red">new!</sup> -- WP guess: [[Banach spaces with complemented subspaces]] -- Status:
==46C99 Miscellaneous==
Line 243 ⟶ 318:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=5971 wavelet set], id=5971 -- WP guess: [[wavelet set]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9448 Gabor frame], id=9448<sup style="color:red">new!</sup> -- WP guess: [[Gabor frame]] -- Status:
==46Cxx Inner product spaces and their generalizations, Hilbert spaces==
==46E15 Banach spaces of continuous, differentiable or analytic functions==
Line 269 ⟶ 348:
:: [[User:Oleg Alexandrov|Oleg Alexandrov]] ([[User talk:Oleg Alexandrov|talk]]) 04:10, 11 March 2006 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7667 generalization of Young inequality], id=7667<sup style="color:red">new!</sup> -- WP guess: [[generalization of Young inequality]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9170 generalized Hölder inequality], id=9170<sup style="color:red">new!</sup> -- WP guess: [[generalized Hölder inequality]] -- Status:
==46E35 Sobolev spaces and other spaces of ''smooth'' functions, embedding theorems, trace theorems==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6601 Sobolev space], id=6601 -- WP: [[Sobolev space]] -- Status: '''A'''
Line 277 ⟶ 360:
:[[User:Oleg Alexandrov|Oleg Alexandrov]] 22:50, 13 September 2005 (UTC)
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6816 proof of Sobolev inequality for \Omega=\mathbf{R}^n], id=6816
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6812 Sobolev inequality], id=6812
==46E40 Spaces of vector- and operator-valued functions==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=902 vector field], id=902 -- WP guess: [[vector field]] -- Status:
==46Exx Linear function spaces and their duals==
==46F05 Topological linear spaces of test functions, distributions and ultradistributions==
Line 291 ⟶ 376:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4444 space of rapidly decreasing functions], id=4444 -- WP: [[Schwartz space]] -- Status: '''C'''
::[[User:Linas|linas]] 21:44, 4 March 2006 (UTC)
==46F10 Operations with distributions==
==46Fxx Distributions, generalized functions, distribution spaces==
==46G05 Derivatives==
Line 297 ⟶ 386:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6395 higher order derivatives of sine and cosine], id=6395 -- WP guess: [[higher order derivatives of sine and cosine]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8221 Fréchet derivative is unique], id=8221<sup style="color:red">new!</sup> -- WP guess: [[Fréchet derivative is unique]] -- Status:
==46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)==
==46H05 General theory of topological algebras==
Line 302 ⟶ 395:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=3333 Banach algebra], id=3333 -- WP guess: [[Banach algebra]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7021 Hilbert spaces are uniformly convex spaces], id=7021
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7026 Banach-Krein-mulian theorem], id=7026
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7034 Hahn-Banach theorem(geometric form)], id=7034
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7035 Hyperplane], id=7035
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7167 proof of Hilbert space is uniformly convex space], id=7167
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7011 Property of uniformly convex Banach Space], id=7011
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6983 Uniformly convex Banach space], id=6983
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7028 uniformly convex space is reflexive], id=7028
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9743 Gelfand transform], id=9743<sup style="color:red">new!</sup> -- WP guess: [[Gelfand transform]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9871 Gelfand-Mazur theorem], id=9871<sup style="color:red">new!</sup><sup style="color:red">new!</sup> -- WP guess: [[Gelfand-Mazur theorem]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9757 invertible elements in a Banach algebra form an open set], id=9757<sup style="color:red">new!</sup> -- WP guess: [[invertible elements in a Banach algebra form an open set]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9737 multiplicative linear functional], id=9737<sup style="color:red">new!</sup> -- WP guess: [[multiplicative linear functional]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9756 Neumann series in Banach algebras], id=9756<sup style="color:red">new!</sup> -- WP guess: [[Neumann series in Banach algebras]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8286 normed algebra], id=8286<sup style="color:red">new!</sup> -- WP guess: [[normed algebra]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8141 rotund space], id=8141<sup style="color:red">new!</sup> -- WP guess: [[rotund space]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9791 spectrum is a non-empty compact set], id=9791<sup style="color:red">new!</sup> -- WP guess: [[spectrum is a non-empty compact set]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8299 topological divisor of zero], id=8299<sup style="color:red">new!</sup> -- WP guess: [[topological divisor of zero]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=8295 topologically nilpotent], id=8295<sup style="color:red">new!</sup> -- WP guess: [[topologically nilpotent]] -- Status:
==46H15 Representations of topological algebras==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9843 Banach *-algebra representation], id=9843<sup style="color:red">new!</sup> -- WP guess: [[Banach *-algebra representation]] -- Status:
==46H35 Topological algebras of operators==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=6402 topological *-algebra], id=6402 -- WP guess: [[topological *-algebra]] -- Status:
==46Hxx Topological algebras, normed rings and algebras, Banach algebras==
==46J10 Banach algebras of continuous functions, function algebras==
==46Jxx Commutative Banach algebras and commutative topological algebras==
==46K05 General theory of topological algebras with involution==
==46K10 Representations of topological algebras with involution==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9845 criterion for a Banach *-algebra representation to be irreducible], id=9845<sup style="color:red">new!</sup> -- WP guess: [[criterion for a Banach *-algebra representation to be irreducible]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9844 representations of Banach *-algebras are continuous], id=9844<sup style="color:red">new!</sup> -- WP guess: [[representations of Banach *-algebras are continuous]] -- Status:
==46Kxx Topological (rings and) algebras with an involution==
==46L05 General theory of $C^*$-algebras==
Line 335 ⟶ 466:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4574 state], id=4574 -- WP guess: [[state]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9807 example of Banach algebra which is not a C^*-algebra for any involution], id=9807<sup style="color:red">new!</sup> -- WP guess: [[example of Banach algebra which is not a C^*-algebra for any involution]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9862 special elements in a C^*-algebra and their spectral properties], id=9862<sup style="color:red">new!</sup><sup style="color:red">new!</sup> -- WP guess: [[special elements in a C^*-algebra and their spectral properties]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9846 topologically irreducible representations are algebrically irreducible for C^*-algebras], id=9846<sup style="color:red">new!</sup> -- WP guess: [[topologically irreducible representations are algebrically irreducible for C^*-algebras]] -- Status:
==46L10 General theory of von Neumann algebras==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9868 polar decomposition in von Neumann algebras], id=9868<sup style="color:red">new!</sup> -- WP guess: [[polar decomposition in von Neumann algebras]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9722 von Neumann algebra], id=9722<sup style="color:red">new!</sup> -- WP guess: [[von Neumann algebra]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9869 von Neumann algebras contain the range projections of its elements], id=9869<sup style="color:red">new!</sup> -- WP guess: [[von Neumann algebras contain the range projections of its elements]] -- Status:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9870 von Neumann algebras of dimension greater than one contain non-trivial projections], id=9870<sup style="color:red">new!</sup> -- WP guess: [[von Neumann algebras of dimension greater than one contain non-trivial projections]] -- Status:
==46L65 Quantizations, deformations==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7540 Quantization], id=7540
* PM: [http://planetmath.org/?op=getobj&from=objects&id=7894 canonical quantization], id=7894<sup style="color:red">new!</sup> -- WP guess: [[canonical quantization]] -- Status:
==46L85 Noncommutative topology==
Line 350 ⟶ 499:
* PM: [http://planetmath.org/?op=getobj&from=objects&id=3329 Fredholm module], id=3329 -- WP guess: [[Fredholm module]] -- Status:
==46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.)==
==46M05 Tensor products==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=899 triple scalar product], id=899 -- WP guess: [[triple scalar product]] -- Status:
==46Mxx Methods of category theory in functional analysis==
==46N99 Miscellaneous==
* PM: [http://planetmath.org/?op=getobj&from=objects&id=9629 Schwarzian derivative], id=9629<sup style="color:red">new!</sup> -- WP guess: [[Schwarzian derivative]] -- Status:
==46Nxx Miscellaneous applications of functional analysis==
==46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds==
Line 360 ⟶ 519:
==46T20 Continuous and differentiable maps==
==46Txx Nonlinear functional analysis==
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