Schnaubelt R. Spectral Theory 2025 torrent

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General spectral theory
Closed operators
The spectrum
Spectral theory of compact operators
Compact operators
The Fredholm alternative
Closed operators with compact resolvent
Fredholm operators and the essential spectrum
Appendix: The Dirichlet problem and boundary integrals
Fourier transform, Sobolev spaces, and weak derivatives
The Fourier transform
Basic properties of Sobolev spaces
Main results on Sobolev spaces
Differential operators in Lp -spaces
Appendix: Density, embedding and trace theorems
Appendix: Tempered distributions
Self-adjoint operators
Basic properties
The spectral theorems
Holomorphic functional calculi
The bounded case
Sectorial operators
Bibliography