Lecture notes on non-elliptic Fredholm theory
Andrew Hassell, Qiuye Jia, Ethan Sussman
TL;DR
This paper provides lecture notes on non-elliptic Fredholm theory, focusing on microlocal analysis techniques and their applications to non-elliptic operators, aimed at advanced students and researchers.
Contribution
It offers a comprehensive introduction and synthesis of non-elliptic Fredholm theory with new insights into microlocal analysis methods.
Findings
Clarifies key concepts in non-elliptic Fredholm theory
Introduces microlocal analysis techniques for non-elliptic operators
Provides educational material for advanced study
Abstract
These are lecture notes from the Austral Winter School on Microlocal Analysis and Non-elliptic Fredholm Theory, held at the Australian National University, Canberra, June 30 -- July 11, 2025.
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