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Paley-Wiener theorems

Nils Byrial Andersen
(IMF)
Analyseseminar
Torsdag, 29 september, 2011, at 16:15, in Aud. D3 (1531-215)
Abstrakt:

The original Paley-Wiener Theorem states that the Fourier transform of an L^2 function on the real line is an entire function of exponential growth, whose restriction to te real line is an L^2 function. In modern terms, a Paley-Wiener theorem describes the image of some function space (smooth and compactly supported, Schwartz, ...) under a (generalized) Fourier transform (associated to differential equations, defined on a symmetric space, ...). We will in this talk discuss various versions of the Paley-Wiener theorem, some facets of the proofs, and some of the many applications (differential equations, sampling theory, ...).

The talk is intended for a general audience.

Kontaktperson: Bent Ørsted