Simon, Barry
(1992)
*The Weyl Transform and L^p Functions on Phase Space.*
Proceedings of the American Mathematical Society, 116
(4).
pp. 1045-1047.
ISSN 0002-9939.
https://resolver.caltech.edu/CaltechAUTHORS:20171120-104432614

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## Abstract

This is primarily a negative paper showing that a bound of the form ||W(f)||_(operator norm) ≤ c|| f ||p fails for the Weyl transform if p > 2. L^p properties of Wigner distribution functions are discussed as well as Cwikel's theorem.

Item Type: | Article | ||||||
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Additional Information: | © 1992 American Mathematical Society. Received by the editors February 21, 1991 and, in revised form, April 19, 1991. Research partially funded under NSF grant number DMS-8801918. | ||||||

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Subject Keywords: | Mathematical theorems, Mathematical inequalities, Mathematical functions | ||||||

Issue or Number: | 4 | ||||||

Classification Code: | 1991 Mathematics Subject Classification: Primary 42C99, 46L99 | ||||||

Record Number: | CaltechAUTHORS:20171120-104432614 | ||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171120-104432614 | ||||||

Official Citation: | Simon, Barry. “The Weyl Transform and Lp Functions on Phase Space.” Proceedings of the American Mathematical Society, vol. 116, no. 4, 1992, pp. 1045–1047. JSTOR, www.jstor.org/stable/2159487 | ||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||

ID Code: | 83339 | ||||||

Collection: | CaltechAUTHORS | ||||||

Deposited By: | Tony Diaz | ||||||

Deposited On: | 20 Nov 2017 19:03 | ||||||

Last Modified: | 03 Oct 2019 19:05 |

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