Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plancherel theory for real spherical spaces: Construction of the
  Bernstein morphisms   Given a unimodular real spherical space $Z=G/H$ we construct for each
boundary degeneration $Z_I=G/H_I$ of $Z$ a Bernstein morphism $B_I:
L^2(Z_I)_{\rm disc }\to L^2(Z)$. We show that $B:=\bigoplus_I B_I$ provides an
isospectral $G$-equivariant morphism onto $L^2(Z)$. Further, the maps $B_I$ are
finite linear combinations of orthogonal projections which translates in the
known cases where $Z$ is a group or a symmetric space into the familiar
Maass-Selberg relations. As a corollary we obtain that $L^2(Z)_{\rm disc }\neq
\emptyset$ provided that ${\mathfrak h}^\perp$ contains elliptic elements in
its interior.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th