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Microlocalization of Subanalytic Sheaves
Luca Prelli, Universitá degli Studi di Padova, Italy
A publication of the Société Mathématique de France.
cover
Mémoires de la Société Mathématique de France
2013; 101 pp; softcover
Number: 135
ISBN-13: 978-2-85629-768-1
List Price: US$45
Member Price: US$36
Order Code: SMFMEM/135
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The author defines the specialization and microlocalization functors for subanalytic sheaves. Applying these tools to the sheaves of tempered and Whitney holomorphic functions, he generalizes some classical constructions. He also proves that the microlocalizations of tempered and Whitney holomorphic functions have a natural structure of module over the ring of microdifferential operators and are locally invariant under contact transformations.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in subanalytic sheaves.

Table of Contents

  • Introduction
  • Review on sheaves on subanalytic sites
  • Conic sheaves on subanalytic sites
  • Fourier-Sato transform for subanalytic sheaves
  • Specialization of subanalytic sheaves
  • Microlocalization of subanalytic sheaves
  • Holomorphic functions with growth conditions
  • Integral transforms
  • A. Review on subanalytic sets
  • Bibliography
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