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In [[mathematics]], a '''progressive function''' ''ƒ'' ∈ ''L''<sup>2</sup>('''R''') is a function whose [[Fourier transform]] is supported by positive frequencies only:<ref>{{cite book |last1=Klees |first1=Roland |last2=Haagmans |first2=Roger |title=Wavelets in the Geosciences |date=6 March 2000 |publisher=Springer Science & Business Media |isbn=978-3-540-66951-7 |url=https://
:<math>\mathop{\rm supp}\hat{f} \subseteq \mathbb{R}_+.</math>
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