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Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
Language: en
Pages: 667
Authors: Valery V. Volchkov
Categories: Mathematics
Type: BOOK - Published: 2009-06-13 - Publisher: Springer Science & Business Media

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The theory of mean periodic functions is a subject which goes back to works of Littlewood, Delsarte, John and that has undergone a vigorous development in recen
Offbeat Integral Geometry on Symmetric Spaces
Language: en
Pages: 596
Authors: Valery V. Volchkov
Categories: Mathematics
Type: BOOK - Published: 2013-01-30 - Publisher: Springer Science & Business Media

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The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on
Invariant Random Fields on Spaces with a Group Action
Language: en
Pages: 271
Authors: Anatoliy Malyarenko
Categories: Mathematics
Type: BOOK - Published: 2012-10-26 - Publisher: Springer Science & Business Media

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The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, incl
Invariant Markov Processes Under Lie Group Actions
Language: en
Pages: 370
Authors: Ming Liao
Categories: Mathematics
Type: BOOK - Published: 2018-06-28 - Publisher: Springer

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The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such
Non-Doubling Ahlfors Measures, Perimeter Measures, and the Characterization of the Trace Spaces of Sobolev Functions in Carnot-Caratheodory Spaces
Language: en
Pages: 138
Authors: Donatella Danielli
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Caratheodory space. Such traces are define