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A RESULT OF PALEY AND WIENER ON DAMEK–RICCI SPACES
Published online by Cambridge University Press: 03 May 2019
Abstract
A classical result due to Paley and Wiener characterizes the existence of a nonzero function in $L^{2}(\mathbb{R})$, supported on a half-line, in terms of the decay of its Fourier transform. In this paper, we prove an analogue of this result for Damek–Ricci spaces.
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- Research Article
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- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
The author was supported by Research Fellowship from Indian Statistical Institute, India.
Current address: Department of Mathematics, Indian Institute of Technology, Bombay, Powai, Mumbai-400076, India email [email protected], [email protected]
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