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Real Paley–Wiener Theorems
Author(s) -
Andersen Nils Byrial
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003108
Subject(s) - mathematics , integral representation theorem for classical wiener space , simple (philosophy) , classical wiener space , space (punctuation) , pure mathematics , mathematics subject classification , elementary proof , calculus (dental) , wiener process , mathematical analysis , epistemology , computer science , integral equation , medicine , philosophy , dentistry , functional integration , operating system
The aim of this paper is to exhibit a real Paley–Wiener space sitting inside the Schwartz space, and to give a quick and simple proof of a Paley–Wiener‐type theorem. A simple and elementary proof of a theorem postulated by H. H. Bang is also given. 2000 Mathematics Subject Classification 42A38.