Isometric properties of the Hankel Transformation in weighted sobolev spaces

It is shown that the Hankel transformation Hsub(v) acts in a class of weighted Sobolev spaces. Especially, the isometric mapping property of Hsub(v) which holds on L²(IRsub(+),rdr) is extended to spaces of arbitrary Sobolev order. The novelty in the approach consists in using techniques developed by...

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Bibliographic Details
Main Authors: Airapetyan, Ruben, Witt, Ingo
Format: Others
Language:English
Published: Universität Potsdam 1997
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25001
http://opus.kobv.de/ubp/volltexte/2008/2500/