منابع مشابه
Paley-wiener-type Theorems
The Fourier transforms of functions with compact and convex supports in R are described. The Fourier transforms of functions with nonconvex and unbounded supports are also considered.
متن کاملGeneralized Paley-Wiener Theorems
Non-harmonic Fourier transform is useful for the analysis of transient signals, where the integral kernel is from the boundary value of Möbius transform. In this note, we study the Paley–Wiener type extension theorems for the non-harmonic Fourier transform. Two extension theorems are established by using real variable techniques.
متن کاملTrace Paley - Wiener Theorem
w Statement of the theorem 1.1. Let G be a reductive p-adic group. A smooth representation (~', E) of the group G on a complex vector space E is called a G-module. Usually we shorten the notation and write w or E. Let d~(G) be the category of G-modules, Irr G the set of equivalence classes of irreducible G-modules, and R (G) the Grothendieck group of G-modules of fnite length; R(G) is a free ab...
متن کاملA Theorem of Paley-wiener Type for Schrödinger Evolutions
We prove unique continuation principles for solutions of evolution Schrödinger equations with time dependent potentials. These correspond to uncertainly principles of Paley-Wiener type for the Fourier transform. Our results extends to a large class of semi-linear Schrödinger equation. Titre : Un théoreme de type Paley-Wiener pour les évolutions de Schrodinger. Résumé : On prouve des principes d...
متن کاملThe Banach Envelope of Paley-wiener Type Spaces
We give an explicit computation of the Banach envelope for the Paley-Wiener type spaces E, 0 < p < 1. This answers a question by Joel Shapiro.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1986
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90269-6