Sheaf theory and regularity. Application to local and microlocal analysis
Volume 88 / 2010
Banach Center Publications 88 (2010), 211-228
MSC: Primary 35A27; Secondary 35A18, 46F30, 35D10.
DOI: 10.4064/bc88-0-17
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.