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Titlebook: Geometric and Harmonic Analysis on Homogeneous Spaces; TJC 2017, Mahdia, Tu Ali Baklouti,Takaaki Nomura Conference proceedings 2019 Springe

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2194-1009 rential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations..978-3-030-26564-9978-3-030-26562-5Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Conference proceedings 2019 number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations..
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Monomial Representations of Discrete Type of an Exponential Solvable Lie Group,representation . of . when . has multiplicities either finite or infinite of discrete type. In particular, we are interested in the Plancherel formula for . and the commutativity problem due to Duflo (Open problems in representation theory of Lie groups, edited by T. Oshima, Katata, Japan 1986, [.])
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Harmonic Analysis for 4-Dimensional Real Frobenius Lie Algebras,ble unitary representations corresponding to open coadjoint orbits for each of 4-dimensional Frobenius Lie algebras. We show that such unitary representations are square-integrable, and their Duflo–Moore operators are closely related to the Pfaffian of the Frobenius Lie algebra.
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An Example of Holomorphically Induced Representations of Exponential Solvable Lie Groups, and a one-dimensional complex subalgebra . of . given by (.) in Sect. ... is a subrepresentation of the regular representation of . with the Plancherel measure .. For .-almost all irreducible representations . of ., the spaces of generalized vectors satisfying the semi-invariance associated with .
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Spherical Functions for Small ,-Types, simple Lie groups and prove except just one case that each . for each small .-type . can be expressed as a product of hyperbolic cosines and a .. As an application, the inversion formula for the spherical transform on . is obtained from Opdam’s theory on .s.
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