Moses - Funktionalanalysis II

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Diese Modulbeschreibung gilt nicht im aktuellen Semester.

Die Modulbeschreibung gilt nur für den Zeitraum SS 2015 - WiSe 2020/21. Die Version für das aktuelle Semester (SoSe 2024) finden Sie hier: Modulbeschreibung des SoSe 2024

Module / Version:
#20073 / #3

Validity:
SS 2015 - WiSe 2020/21

Default display language:
English

Module title:
Funktionalanalysis II
Functional Analysis II

Credits:
10

Responsible person:
Kutyniok, Gitta

Grading:
benotet

Type of exam:
Mündliche Prüfung

Zugehörigkeit

Faculty:
Fakultät II

Institute:
Institut für Mathematik

Area of expertise:
No information

Prüfungsausschuss:
Mathe

Kontakt

Office:
MA 5-3

Contact person:
No information

E-mail address:
kreusler@math.tu-berlin.de

Website:
No information

Learning Outcomes

Based on the knowledge from the lecture Functional Analysis I, the students should receive a comprehensive overview of the main topics in Functional Analysis.

Content

Spectral theorem for bounded and unbounded selfadjoint operators in Hilbert spaces, Fourier analysis, Sobolev spaces, distributions, approximation theory in normed spaces.

Module Components

Pflichtteil:

All Courses are mandatory.

Course Name	Type	Number	Cycle	Language	SWS	VZ
Funktionalanalysis II	VL		WiSe	German	4
Funktionalanalysis II	UE		WiSe	German	2

Workload and Credit Points

Funktionalanalysis II (VL):

Workload description	Multiplier	Hours	Total
Präsenzzeit	15.0	4.0h	60.0h
Vor- und Nachbereitung	15.0	10.0h	150.0h
			210.0h(~7 LP)

Funktionalanalysis II (UE):

Workload description	Multiplier	Hours	Total
Präsenzzeit	15.0	2.0h	30.0h
			30.0h(~1 LP)

Course-independent workload:

Workload description	Multiplier	Hours	Total
Prüfungsvorbereitung	1.0	60.0h	60.0h
			60.0h(~2 LP)

The Workload of the module sums up to 300.0 Hours. Therefore the module contains 10 Credits.

Description of Teaching and Learning Methods

Vorlesungen, Übungen

Requirements for participation and examination

Desirable prerequisites for participation in the courses:

Funktionalanalysis I

Mandatory requirements for the module test application:

This module has no requirements.

Module completion

Grading

graded

Type of exam

Oral exam

Language

English

Duration/Extent

No information

Duration of the Module

The following number of semesters is estimated for taking and completing the module:
1 Semester.

This module may be commenced in the following semesters:
Wintersemester.

Maximum Number of Participants

This module is not limited to a number of students.

Registration Procedures

Standard

Recommended literature
D. Werner: Funktionalaanalysis, Springer.
Further literature will be announced in the lectures.
J. Conway: A Course in Functional Analysis, Springer.
J. Weidmann: Lineare Operatoren in Hilberträumen Teil 1, Teubner.
M. Reed, B. Simon: Methods of Modern Mathematical Physics Vol. 1: Functional Analysis, Academic Press.
Weitere Literatur wird in der Vorlesung bekanntgegeben.

Assigned Degree Programs

Semester:

Zeige auch ausgelaufene Studiengänge und StuPOs

This module is used in the following Degree Programs (new System):

	Studiengang / StuPO	StuPOs	Verwendungen	Erste Verwendung	Letzte Verwendung
This module is not used in any degree program.

Miscellaneous