Paley-Wiener type theorems for functions in Bergman spaces over tube domains
نویسندگان
چکیده
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.
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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.
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Chapter 1: Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Chapter 2: Riemannian Symmetric Spaces and Related Structure Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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We prove a topological Paley-Wiener theorem for the Fourier transform deened on the real hyperbolic spaces SO o (p; q)=SO o (p ? 1; q), for p; q 2 2N, without restriction to K-types. We also obtain Paley-Wiener type theorems for L-Schwartz functions (0 < 2) for xed K-types.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1986
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90277-5