Limit search to available items
Book Cover
E-book
Author Albano, Paolo, 1969-

Title Wave front set of solutions to sums of squares of vector fields / Paolo Albano, Antonio Bove
Published Providence, Rhode Island : American Mathematical Society, [2012]
©2012

Copies

Description 1 online resource (v, 73 pages)
Series Memoirs of the American Mathematical Society, 0065-9266 ; v. 221, no. 1039
Memoirs of the American Mathematical Society ; no. 1039. 0065-9266
Contents Chapter 1. Introduction Chapter 2. The Poisson-Treves stratification Chapter 3. Standard forms for a system of vector fields Chapter 4. Nested strata Chapter 5. Bargman pseudodifferential operators Chapter 6. The "A Priori" estimate on the FBI side Chapter 7. A single symplectic stratum Chapter 8. A single nonsymplectic stratum Chapter 9. Microlocal regularity in nested strata Chapter 10. Known cases and examples Appendix A.A bracket lemma Appendix B. Nonsymplectic strata do not have the reproducing bracket property
Summary "We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result. Examples are discussed."
Notes "Volume 221, number 1039 (third of 5 numbers) January 2013."
Bibliography Includes bibliographical references (pages 71-72) and index
Notes English
PDF (http://www.ams.org viewed November 21, 2012)
Subject Wavelets (Mathematics)
Summability theory.
Vector fields.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Summability theory
Vector fields
Wavelets (Mathematics)
Form Electronic book
Author Bove, Antonio
ISBN 9780821894613
0821894617