Boundary values of holomorphic functions and some spectral problems for unitary representations

Details Boundary values of holomorphic functions and some spectral problems for unitary representations Boundary values of holomorphic functions and some spectral problems for unitary representations

1997-11-24

arxiv.org/abs/funct-an/9711005v1

Mathematics

Complex Variables

LaTeX, 26 pages

Scientific paper

We consider hilbert spaces of holomorphic functions in Cartan domains (in particular in ball and polydisk) and operator of restriction of holomorphic function to a submanifold in Shilov boundary. We discuss conditions when this operator exists. Using such 'trace theorems' it is possible to construct discrete increments to spectra of some unitary representation and to catch singular unitary representations in the spectra. We also discuss spectral problems related to Berezin type kernels on riemann symmetric spaces.

Affiliated with

Also associated with

No associations

Rating

Boundary values of holomorphic functions and some spectral problems for unitary representations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boundary values of holomorphic functions and some spectral problems for unitary representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary values of holomorphic functions and some spectral problems for unitary representations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246392