The aim of this work is to show that on a locally compact, second countable, compactly generated group G with polynomial growth and homogeneous dimension dh, there exists a continuous, proper, negative definite function l with polynomial growth dimension dl arbitrarily close to dh.
Negative definite functions on groups with polynomial growth
CIPRIANI, FABIO EUGENIO GIOVANNI;
2016-01-01
Abstract
The aim of this work is to show that on a locally compact, second countable, compactly generated group G with polynomial growth and homogeneous dimension dh, there exists a continuous, proper, negative definite function l with polynomial growth dimension dl arbitrarily close to dh.File in questo prodotto:
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Cipriani Sauvageot Polynomial growth arxiv version.pdf
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