539 research outputs found
Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids
Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied
in the spirit of the treatment of the spherical harmonics by Stein and Weiss.
As a special case, a simple self-contained proof of Laplace's integral for a
Legendre function is obtained.Comment: 5 page
Inductive Algebras for Finite Heisenberg Groups
A characterization of the maximal abelian sub-algebras of matrix algebras
that are normalized by the canonical representation of a finite Heisenberg
group is given. Examples are constructed using a classification result for
finite Heisenberg groups.Comment: 5 page
Inductive algebras and homogeneous shifts
Inductive algebras for the irreducible unitary representations of the
universal cover of the group of unimodular two by two matrices are classified.
The classification of homogeneous shift operators is obtained as a direct
consequence. This gives a new approach to the results of Bagchi and Misra
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