401-3462-00L  Functional Analysis II

SemesterSpring Semester 2019
LecturersM. Einsiedler
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-3462-00 VFunctional Analysis II4 hrs
Mon10:15-12:00HG G 5 »
Thu13:15-15:00HG G 5 »
M. Einsiedler
401-3462-00 UFunctional Analysis II1 hrs
Mon09:15-10:00HG E 33.3 »
09:15-10:00HG F 26.5 »
09:15-10:00HG G 26.3 »
M. Einsiedler

Catalogue data

AbstractSobolev spaces, weak solutions of elliptic boundary value problems, elliptic regularity, spectral theory, and unitary representations.
ObjectiveAcquiring the language and methods for boundary value problems, Sobolev spaces, Banach algebras, Spectral theory of bounded and unbounded selfadjoint operators, and Unitary representations.
Lecture notesFunctional Analysis, Spectral Theory and Applications.
Manfred Einsiedler and Thomas Ward, GTM Springer 2017
LiteratureFunctional Analysis, Spectral Theory and Applications.
Manfred Einsiedler and Thomas Ward, GTM Springer 2017
Prerequisites / NoticeFunctional Analysis I plus a solid background on the content of all Mathematics courses of the first two years of the undergraduate curriculum at ETH (most remarkably: fluency with measure theory, Lebesgue integration and L^p spaces).

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersM. Einsiedler
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
Additional information on mode of examination30 minutes preparation and 30 minutes exam (one candidate prepares during the 30 minutes oral exam of the previous candidate).

The active participation in the exercise class via presentations as a voluntary learning task will be graded and can improve the total course unit grade by up to 0.25 grade points. Students can still achieve the maximum grade of 6 in the course unit even if they only sit the final examination.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
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Offered in

ProgrammeSectionType
Doctoral Department of MathematicsGraduate SchoolWInformation
High-Energy Physics (Joint Master with EP Paris)Optional Subjects in MathematicsWInformation
Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics MasterCore Courses: Pure MathematicsWInformation
Physics MasterSelection: MathematicsWInformation