arXiv:1101.4419 Abstract | arXiv Analytics

arXiv:1101.4419 [math.RT]Abstract References Reviews Resources

The Paley-Wiener Theorem and Limits of Symmetric Spaces

Published 2011-01-24Version 1

We extend the Paley--Wiener theorem for riemannian symmetric spaces to an important class of infinite dimensional symmetric spaces. For this we define a notion of propagation of symmetric spaces and examine the direct (injective) limit symmetric spaces defined by propagation. This relies on some of our earlier work on invariant differential operators and the action of Weyl group invariant polynomials under restriction.

Categories: math.RT

Subjects: 43A85, 53C35, 22E46

Keywords: paley-wiener theorem, weyl group invariant polynomials, infinite dimensional symmetric spaces, riemannian symmetric spaces, invariant differential operators

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