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Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Sampling bandlimited functions reproducing kernel Hilbert spaces Gelfand pairs commutative spaces representation theory
2011/9/19
Abstract: A connected homogeneous space X=G/K is called commutative if G is a connected Lie group, $K$ is a compact subgroup and the B*-algebra L^1(X)^K of K-invariant integrable function on X is comm...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Universal commutative operator algebras and transfer function realizations of polynomials
Universal commutative operator algebras transfer function realizations of polynomials
2010/12/15
To each finite-dimensional operator space E is associated a commutative operator algebra UC(E), so that E embeds completely isometrically in UC(E) and any completely contractive
map from E to bounded...
Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras
Simplicity maximal commutative subalgebras twisted generalized Weyl algebras
2010/12/13
In this paper we show that each non-zero ideal of a twisted generalizedWeyl algebra (TGWA) A intersects the centralizer of the distinguished subalgebra R in A non-trivially. We also provide a necessar...