Vol. 177, No. 1, 1997

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Oscillatory integrals and Schrödinger maximal operators

Lawrence A. Kolasa

Vol. 177 (1997), No. 1, 77–101
Abstract

In this paper we consider smooth analogues of operators studied in connection with pointwise convergence of the solution of the free Schrödinger equation to the given initial data. Such operators are interesting examples of oscillatory integral operators with degenerate phase functions, and we obtain sharp L2 L2 bounds.

Milestones
Received: 16 September 1994
Revised: 22 February 1995
Published: 1 January 1997
Authors
Lawrence A. Kolasa
University of Wisconsin-Parkside
Kenosha, WI 53141-2000
University of Toronto
100 St. George St.
Toronto, ON M59 1A1
Canada