Sheaf theory and regularity. Application to local and microlocal analysis

Jean-André Marti

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 211-228
  • ISSN: 0137-6934

Abstract

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A review of some methods in sheaf theory is presented to make precise a general concept of regularity in algebras or spaces of generalized functions. This leads to the local analysis of the sections of sheaves or presheaves under consideration and then to microlocal analysis and microlocal asymptotic analysis.

How to cite

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Jean-André Marti. "Sheaf theory and regularity. Application to local and microlocal analysis." Banach Center Publications 88.1 (2010): 211-228. <http://eudml.org/doc/282565>.

@article{Jean2010,
abstract = {A review of some methods in sheaf theory is presented to make precise a general concept of regularity in algebras or spaces of generalized functions. This leads to the local analysis of the sections of sheaves or presheaves under consideration and then to microlocal analysis and microlocal asymptotic analysis.},
author = {Jean-André Marti},
journal = {Banach Center Publications},
keywords = {sheaf theory; algebras of generalized functions; localization; microlocalization; wave front set},
language = {eng},
number = {1},
pages = {211-228},
title = {Sheaf theory and regularity. Application to local and microlocal analysis},
url = {http://eudml.org/doc/282565},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Jean-André Marti
TI - Sheaf theory and regularity. Application to local and microlocal analysis
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 211
EP - 228
AB - A review of some methods in sheaf theory is presented to make precise a general concept of regularity in algebras or spaces of generalized functions. This leads to the local analysis of the sections of sheaves or presheaves under consideration and then to microlocal analysis and microlocal asymptotic analysis.
LA - eng
KW - sheaf theory; algebras of generalized functions; localization; microlocalization; wave front set
UR - http://eudml.org/doc/282565
ER -

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