Two minicourses on analytic microlocal analysis

2015/08/04 by Hitrik, Michael, Sjoestrand, Johannes · 3 citations
#30H20 #32W25 #35S05 #35S30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.00649

Abstract

These notes correspond roughly to the two minicourses prepared by the authors for the workshop on Analytic Microlocal Analysis, held at Northwestern University in May 2013. The first part of the text gives an elementary introduction to some global aspects of the theory of metaplectic FBI transforms, while the second part develops the general techniques of the analytic microlocal analysis in exponentially weighted spaces of holomorphic functions.

Cited by

• The matrix weighted real-analytic double fibration transforms
• Weighted symbol spaces, magnetic translations, and pseudodifferential operators
• Cantor spectrum for multidimensional quasi-periodic Schrödinger operators

Related

• Microlocal analysis and beyond
• Microlocal analysis and evolution equations
• Regularity, Local and Microlocal Analysis in Theories of Generalized Functions
• Applications of microlocal analysis to inverse problems
• The FBI Transform Characterization of Ultradistributions