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Silvermatsu (talk | contribs) →Do you think several complex variables are functional theory or analysis?: Thank you for your answers to the sections below and will reply. |
Silvermatsu (talk | contribs) →I found a page that may be related to this page: Later, I will add a reference for Taylor expansion. |
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Please see [[Infinite-dimensional holomorphy|this page]]. Thanks!--[[User:SilverMatsu|SilverMatsu]] ([[User talk:SilverMatsu|talk]]) 12:14, 11 December 2020 (UTC)
:I'm not sure this page is the best target for that page. That's a lot closer to [[holomorphic function]], IMO. Though it looks like it could use some work, and some references, either way. Thanks! [[User:Footlessmouse|Footlessmouse]] ([[User talk:Footlessmouse|talk]]) 07:48, 12 December 2020 (UTC)
::Thank you for your reply.I also seem to be close to a holomorphic function. When I looked at the page I introduced, it said "It is no longer true however that if a function is defined and holomorphic in a ball, its power series around the center of the ball is convergent in the entire ball; for example, there exist holomorphic functions defined on the entire space which have a finite radius of convergence". For Several complex variables, the Taylor expansion of the holomorphic function <math>f(z_1,\dots,z_n)</math> in the Reinhardt ___domain D, including the center a, has been shown to converge uniformly on any compact set in D, so I thought it might need to be covered on this page. My knowledge is inadequate and may not matter. My knowledge is inadequate, so it may be an unrelated topic. Thanks!--[[User:SilverMatsu|SilverMatsu]] ([[User talk:SilverMatsu|talk]]) 10:28, 12 December 2020 (UTC)
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