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Generalization of the Paley-Wiener theorem in weighted spaces

✍ Scribed by V. I. Lutsenko; R. S. Yulmukhametov

Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
331 KB
Volume
48
Category
Article
ISSN
0001-4346

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✍ William O. Bray πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 734 KB

On a symmetric space X=GΓ‚K of noncompact type, we consider the formulas where 8 \* is the spherical function on X. Taken together they represent, the synthesis and decomposition formulas for appropriate functions f on X in terms of joint eigenfunctions of the invariant differential operators on X.