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Published December 1992 | public
Journal Article

The Weyl Transform and L^p Functions on Phase Space

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.

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.

Additional details

Created:
August 20, 2023
Modified:
October 17, 2023