In:
Tambov University Reports. Series: Natural and Technical Sciences, Tambov State University - G.R. Derzhavin, , No. 127 ( 2019), p. 241-251
Abstract:
Let G/H be a hyperbolic space over R; C or H; and let K be a maximal compact subgroup of G. Let D denote a certain explicit invariant differential operator, such that the non-cuspidal discrete series belong to the kernel of D. For any L^2-Schwartz function f on G/H we prove that the Abel transform A(Df) of Df is a Schwartz function. This is an extension of a result established in [2] for K-finite and K∩H-invariant functions.
Type of Medium:
Online Resource
ISSN:
1810-0198
Uniform Title:
Асимптотика преобразования Радона на гиперболических пространствах
DOI:
10.20310/2686-9667-2019-24-127
DOI:
10.20310/2686-9667-2019-24-127-241-251
Language:
Unknown
Publisher:
Tambov State University - G.R. Derzhavin
Publication Date:
2019
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