Hankel transforms of general monotone functions
Debernardi Pinos, Alberto (Centre de Recerca Matemàtica)

Imprint:	Cham, Switzerland : Birkhäuser, 2019
Description:	16 pàg.
Abstract:	We show that the Hankel transform of a general monotone function converges uniformly if and only if the limit function is bounded. To this end, we rely on an Abel-Olivier test for real- valued functions. Analogous results for cosine series are derived as well. We also show that our statements do not hold without the general monotonicity assumption in the case of cosine integrals and series.
Grants:	European Commission 713927 Agencia Estatal de Investigación MTM2017-87409-P
Note:	Altres ajuts: CERCA Programme/Generalitat de Catalunya
Rights:	Tots els drets reservats.
Language:	Anglès
Series:	Applied and Numerical Harmonic Analysis
Document:	Capítol de llibre ; recerca ; Versió acceptada per publicar
Subject:	Hankel transform ; Boundedness ; Uniform convergence ; General monotonicity ; Cosine series
Published in:	Topics in Classical and Modern Analysis: in memory of Yingkang Hu, 2019, p. 87-104, ISBN 978-3-030-12277-5

DOI: 10.1007/978-3-030-12277-5_5

Postprint 17 p, 443.8 KB

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