A Satake type theorem for Super Automorphic forms

Details A Satake type theorem for Super Automorphic forms A Satake type theorem for Super Automorphic forms

2008-06-30

arxiv.org/abs/0806.4870v5

Mathematics

Complex Variables

21 pages, 1 figure, minor changes in replacement

Scientific paper

Aim of this article is a Satake type theorem for super automorphic forms on a complex bounded symmetric super domain B of rank 1 with respect to a lattice. This theorem - roughly speaking - says that for large weight k and all p from 1 to infinity (both including) a super automorphic form on B is a super cusp form if and only if its p-norm with respect to a certain measure on the quotient of B is finite. And so in particular all these Lp-spaces coincide! We will give a proof of this theorem using an unbounded realization of B and Fourier decomposition at the cusps of the quotient mapped to infinity via a partial Cayley transform.

Affiliated with

Also associated with

No associations

Rating

A Satake type theorem for Super Automorphic forms 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 A Satake type theorem for Super Automorphic forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Satake type theorem for Super Automorphic forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-154912