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q(X, G), and the smallest integer
DOI link for q(X, G), and the smallest integer
q(X, G), and the smallest integer
which the above property remains true is called the order of of order k if k is the order of one (and then of all) of the irreducible continuous unitary representa- of G) which are in the class of w. Example 2. In the case of the IR-distributions that Xr is of order k if and only if the distribution Tis of order k in the sense of usual distributions. Example 3. Let k be some positive integer, and let xbe in X; we endow the finite-dimensional Lie group of k-jets Chapter 1, Section with the left-invariant Haar measure dj. Let us consider the left regular = 2, p, let be a continuous and irreducible unitary representation of the k-jets group J!,(X, G); we get a continuous and irreducible unitary representation 1r!, of ®(X, G) such that, for all which is of order the class of unitary equivalence of 1r! @ 1r! ® · · · ® bution on X of order sk and support {xi, x ••• It problem of finding G-distributions of finite order and with finite support
Edition 1st Edition
First Published 1993
Imprint CRC Press
Pages 1
eBook ISBN 9780429181566
ABSTRACT