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Lie Groups and Representation Theory
Seminar information archive ～04/18｜Next seminar｜Future seminars 04/19～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2015/04/07
16:30-18:00 Room #122 (Graduate School of Math. Sci. Bldg.)
Bent Orsted (Aarhus University)
Branching laws and elliptic boundary value problems
(English)
Bent Orsted (Aarhus University)
Branching laws and elliptic boundary value problems
(English)
[ Abstract ]
Classically the Poisson transform relates harmonic functions in the complex upper half plane to their boundary values on the real axis. In
some recent work by Caffarelli et al. some new generalizations of this appears in connection with the fractional Laplacian. In this lecture we
shall explain how the symmetry-breaking operators introduced by T. Kobayashi for studying branching laws may shed new light on the situation for elliptic boundary value problems. This is based on joint work with J. M\"o{}llers and G. Zhang.
Classically the Poisson transform relates harmonic functions in the complex upper half plane to their boundary values on the real axis. In
some recent work by Caffarelli et al. some new generalizations of this appears in connection with the fractional Laplacian. In this lecture we
shall explain how the symmetry-breaking operators introduced by T. Kobayashi for studying branching laws may shed new light on the situation for elliptic boundary value problems. This is based on joint work with J. M\"o{}llers and G. Zhang.
