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250348 VO Selected topics in Functionalanalysis (2006S)
Selected topics in Functionalanalysis
Labels
Erstmals am Donnerstag, 2.3.2006
Details
Language: German
Lecturers
Classes (iCal) - next class is marked with N
- Thursday 02.03. 11:00 - 12:00 Seminarraum
- Tuesday 07.03. 11:00 - 12:00 Seminarraum
- Thursday 09.03. 11:00 - 12:00 Seminarraum
- Tuesday 14.03. 11:00 - 12:00 Seminarraum
- Thursday 16.03. 11:00 - 12:00 Seminarraum
- Tuesday 21.03. 11:00 - 12:00 Seminarraum
- Thursday 23.03. 11:00 - 12:00 Seminarraum
- Tuesday 28.03. 11:00 - 12:00 Seminarraum
- Thursday 30.03. 11:00 - 12:00 Seminarraum
- Tuesday 04.04. 11:00 - 12:00 Seminarraum
- Thursday 06.04. 11:00 - 12:00 Seminarraum
- Tuesday 25.04. 11:00 - 12:00 Seminarraum
- Thursday 27.04. 11:00 - 12:00 Seminarraum
- Tuesday 02.05. 11:00 - 12:00 Seminarraum
- Thursday 04.05. 11:00 - 12:00 Seminarraum
- Tuesday 09.05. 11:00 - 12:00 Seminarraum
- Thursday 11.05. 11:00 - 12:00 Seminarraum
- Tuesday 16.05. 11:00 - 12:00 Seminarraum
- Thursday 18.05. 11:00 - 12:00 Seminarraum
- Tuesday 23.05. 11:00 - 12:00 Seminarraum
- Tuesday 30.05. 11:00 - 12:00 Seminarraum
- Thursday 01.06. 11:00 - 12:00 Seminarraum
- Thursday 08.06. 11:00 - 12:00 Seminarraum
- Tuesday 13.06. 11:00 - 12:00 Seminarraum
- Tuesday 20.06. 11:00 - 12:00 Seminarraum
- Thursday 22.06. 11:00 - 12:00 Seminarraum
- Tuesday 27.06. 11:00 - 12:00 Seminarraum
- Thursday 29.06. 11:00 - 12:00 Seminarraum
Information
Aims, contents and method of the course
This course is a continuation of the functional analysis course provided in the winter term 05/06. The main topics will be on functional analytic methods relevant for time-frequency analysis.
Assessment and permitted materials
Minimum requirements and assessment criteria
Das Ziel der Vorlesung ist es, die Hörer auf der Basis der allgemeinen Funktionalanalysis in ein hochaktuelles Forschungsgebiet einzuführen und auf diese Weise die Grundlagen für stärkeres Engagement in diesem Teilbereich der Angewandten Mathematik bzw. alternativ der Mathematischen Analysis zu bieten. Insbesondere soll auf die Wechselwirkung zwischen Theorie und
Anwendungen, abstrakten Begriffen und numerischer Umsetzung anhand von exemplarischen Beispielen hingewiesen werden.
Anwendungen, abstrakten Begriffen und numerischer Umsetzung anhand von exemplarischen Beispielen hingewiesen werden.
Examination topics
The main emphasis of this course (which most likely will be held in English, due to a number of participants from foreign countries) will be on methods from harmonic analysis, seen as a branch of functional analysis, in particular function spaces, Gelfand-triples, Banach algebras, linear operatorr between such function spaces (e.g. modulation spaces, among them
Sobolev spaces), or the study of the short-time Fourier transform. Frames and Riesz basis will be another core topic of this course. The overall goal is to familiarize the participants with "functional analysis in action", and to see how the fundamental principles of functional analysis in conjunction with basic facts from group theory or algebra provide new insight into basic questions arising in mathematical analysis and/or in application areas related to signal processing.
Sobolev spaces), or the study of the short-time Fourier transform. Frames and Riesz basis will be another core topic of this course. The overall goal is to familiarize the participants with "functional analysis in action", and to see how the fundamental principles of functional analysis in conjunction with basic facts from group theory or algebra provide new insight into basic questions arising in mathematical analysis and/or in application areas related to signal processing.
Reading list
Will be provided through the NuHAG homepage. Among others there are 3 books edited by NuHAG members relevant for this course.
Association in the course directory
Last modified: Sa 26.02.2022 00:25