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Separation of series for hyperboloids

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Publication:1128366
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DOI10.1007/BF02465785zbMath0924.43011MaRDI QIDQ1128366

Vladimir F. Molchanov

Publication date: 26 August 1998

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

homogeneous spacesspherical functionsharmonic analysisirreducible unitary representationsdiscrete seriescomplex manifoldsShilov boundaryGelfand-Gindikin programreal hyperboloids


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)


Related Items (2)

On the separation of spectra in the analysis of Berezin kernels ⋮ Projections Separating Spectra for $\boldsymbol{L^2}$ on Pseudounitary Groups $\boldsymbol{{\mathrm U}(p,q)}$



Cites Work

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  • The holomorphic discrete series for affine symmetric spaces. I
  • Discrete series for an affine symmetric space
  • Analysis on real hyperbolic spaces
  • Holomorphic discrete series for hyperboloids of Hermitian type
  • Conformal harmonic analysis on hyperboloids
  • Harmonic analysis on hyperboloids
  • Distributions Invariant under an Orthogonal Group of Arbitrary Signature.
  • SPHERICAL FUNCTIONS ON HYPERBOLOIDS


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