Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Regularized traces and characters

Mathematics – Differential Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

17 pages

Scientific paper

Consider a Riemannian symmetric space $X= G/K$ of non-compact type, where $G$ denotes a connected, real, semi-simple Lie group with finite center, and $K$ a maximal compact subgroup of $G$. Let $\widetilde X$ be its Oshima compactification, and $(\pi,\mathrm{C}(\widetilde X))$ the regular representation of $G$ on $\widetilde X$. In this paper, a regularized trace for the convolution operators $\pi(f)$ is defined, yielding a distribution on $G$ which can be interpreted as global character of $\pi$. In case that $f$ has compact support in a certain set of transversal elements, this distribution is a locally integrable function, and given by a fixed point formula analogous to the formula for the global character of an induced representation of $G$.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Regularized traces and characters 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 Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Regularized traces and characters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Regularized traces and characters will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-495606

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.