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Harmonic analysis on a finite homogeneous space [PDF]
Proceedings of the London Mathematical Society, 2009 69 ...
SCARABOTTI, Fabio, F. Tolli
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Harmonic analysis on spherical homogeneous spaces with solvable stabilizer [PDF]
Functional Analysis and Its Applications, 2012 v2: 14 pages, minor ...
Avdeev, R. S., Gorfinkel, N. E.
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Harmonic analysis and propagators on homogeneous spaces [PDF]
Physics Reports, 1990 The techniques of harmonic analysis of homogeneous spaces are reviewed, and applied to the theory of propagators. The spectral geometry of homogeneous and, in particular, of symmetric spaces is considered, with explicit calculations of the heat kernel and the zeta function.
Roberto Camporesi
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Centered Hardy-Littlewood maximal function on product manifolds
Advances in Nonlinear Analysis, 2022 Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
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ON THE ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES
Проблемы анализа, 2018 We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces.
Baskakov A. G. +2 more
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A unified mode decomposition method for physical fields in homogeneous cosmology [PDF]
, 2013 The methods of mode decomposition and Fourier analysis of classical and quantum fields on curved spacetimes previously available mainly for the scalar field on Friedman- Robertson-Walker (FRW) spacetimes are extended to arbitrary vector bundle fields on ...
Avetisyan, Zhirayr G.
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Harmonic analysis on compact polar homogeneous spaces [PDF]
Pacific Journal of Mathematics, 1996 Motivated by extensions of harmonic analysis on semisimple symmetric spaces, the author introduces a new class of homogeneous spaces \(G/H\), called polar spaces. Here \(G\) is a compact semisimple Lie group, \(H\) is a closed subgroup, and the adjoint action of \(H\) on the tangent space to \(G/H\) at the origin is assumed to be a polar representation
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Heat kernel generated frames in the setting of Dirichlet spaces [PDF]
, 2012 Wavelet bases and frames consisting of band limited functions of nearly exponential localization on Rd are a powerful tool in harmonic analysis by making various spaces of functions and distributions more accessible for study and utilization, and ...
Coulhon, Thierry +2 more
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Harmonic Manifolds and Tubes [PDF]
, 2017 The authors showed in a preceding paper that in a connected locally harmonic manifold, the volume of a tube of small radius about a regularly parameterized simple arc depends only on the length of the arc and the radius.
Csikós, Balázs, Horváth, Márton
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The Howe dual pair in Hermitean Clifford analysis [PDF]
, 2010 Clifford analysis offers a higher dimensional function theory studying the null solutions of the rotation invariant, vector valued, first order Dirac operator ∂.
Brackx, Fred +3 more
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