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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