Funktionalanalysis 2 (Functional Analysis 2) - Einzelansicht

This lecture is the continuation of the lecture Functional Analysis 1.

Michael Reed, Barry Simon: Methods of Modern Mathematical Physics 1 - 2

Dirk Werner: Funktionalanalysis

Walter Rudin: Functional Analysis

Bitte melden Sie sich auch bei dem moodle-Kurs Funktionalanalysis 2 an. Dort werden die entsprechenden Informationen zur Durchführung des Kurses stehen, solange noch keine Präsenzveranstaltungen durchgeführt werden können.

Please also register at the course Functional analysis 2 on moodle. There all informations concerning the realization of the course will be available while it is not possible to give a presence lecture, i.e. to actually be present at the university.

Functional Analysis 1

In the beginning, different versions of the Spectral Theorem for bounded self-adjoint operators are presented. Then the theory of unbounded self-adjoint operators is introduced, including the Spectral Theorem, Stones Theorem, Friedrichs Extension, Von Neumanns Theorem, Trotter-Kato Theorem and the Trotter Product Formula. After a short repetition of Fourier transformations und distributions, Sobolev spaces are defined and the Sobolev Lemma is given. Then some examples for self-adjoint operators are discussed.

MSc Mathematics, MEd Mathematics, MSc Physics, BSc Mathematics