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L^p -Fourier transforms for solvable Lie groups acting on Siegel domains (Harmonic Analysis on Homogeneous Spaces and Representation)

L^p -Fourier transforms for solvable Lie groups acting on Siegel domains (Harmonic Analysis on Homogeneous Spaces and Representation)
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Braided differential structure on affine Weyl groups and nil-Hecke algebras (Homogeneous spaces and non-commutative harmonic analysis)

Braided differential structure on affine Weyl groups and nil-Hecke algebras (Homogeneous spaces and non-commutative harmonic analysis)
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Spherical functions on $U(2n)/(U(n)×U(n))$ and hermitian Siegel series (Homogeneous spaces and non-commutative harmonic analysis)

Spherical functions on $U(2n)/(U(n)×U(n))$ and hermitian Siegel series (Homogeneous spaces and non-commutative harmonic analysis)
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$L^p$-Fourier transforms for solvable Lie groups acting on Siegel domains (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups)

$L^p$-Fourier transforms for solvable Lie groups acting on Siegel domains (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups)
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A decomposition of the adjoint representation of $U_q(\mathfrak{sl}_2)$ (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups)

A decomposition of the adjoint representation of $U_q(\mathfrak{sl}_2)$ (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups)
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Two kinds of constructions of generalized Kac-Moody algebras as subalgebras of Kac-Moody algebras (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups)

Two kinds of constructions of generalized Kac-Moody algebras as subalgebras of Kac-Moody algebras (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups)
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Geometric and harmonic analysis on homogeneous spaces and applications

Advances in Pure and Applied Mathematics, 2013
Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces have built up enormous stores of knowledge as a significant and indispensable area of mathematics since the end of the World War II when the research in these areas began.
Ali Baklouti, Takaaki Nomura
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Motions and pattern analysis: harmonic analysis on motion groups and their homogeneous spaces

IEEE Transactions on Systems, Man, and Cybernetics, 1991
Fourier-like transforms that are defined on several groups of motions on the plane and on the plane itself (viewed as the homogeneous space of these motion groups) are presented. These transforms should have many applications in the area of pattern recognition, detection, and the representation of motions in pattern analysis.
J.-P. Gauthier, G. Bornard, M. Silbermann   +2 more
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Geometric and harmonic analysis on homogeneous spaces

Advances in Pure and Applied Mathematics, 2011
Ali Baklouti, Takaaki Nomura
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Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Springer Proceedings in Mathematics and Statistics, 2021
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