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9 787 (0,122s)

Result

Toeplitz quantization and asymptotic expansions : Peter Weyl decomposition

We obtain the Peter?Weyl decomposition of the star product and star restriction associated to the Toeplitz calculus on complex and real symmetric domains, respectively, under the action of the maximal compact subgroup. Both...

BA - Obecná matematika

  • 2010
  • Jx
Result

Sobolev spaces on bounded symmetric domains

We obtain a formula for the Sobolev inner product in standard weighted Bergman spaces of holomorphic functions on a bounded symmetric domain in terms of the Peter?Weyl components in the Hua?Schmidt decomposition, and use it...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

Real Berezin transforms and asymptotic expansion for symmetric spaces of compact and non-compact type

We obtain formulas for the asymptotic expansion of the Berezin transform on symmetric spaces in terms of invariant differential operators associated with the Peter-Weyl decomposition under the maximal compact subgroup. A un...

BA - Obecná matematika

  • 2012
  • D
  • Link
Result

Central Splitting of A(2) Discrete Fourier-Weyl Transforms

Two types of bivariate discrete weight lattice Fourier-Weyl transforms are related by the central splitting decomposition. The two-variable symmetric and antisymmetric Weyl orbit functions of the crystallographic reflection...

Applied mathematics

  • 2020
  • Jimp
  • Link
Result

Trace decompositions of tensor spaces

The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the...

BA - Obecná matematika

  • 2006
  • Jx
Result

The total divergence equation

The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the...

BA - Obecná matematika

  • 2006
  • Jx
Result

Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds

be decomposed with respect to the pseudo-orthogonal group into the sum of the Weyl conformal. A similar decomposition with respect to the pseudo-unitary group exists on a pseudo-Kahlerian manifold; instead of the Weyl tens...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds

be decomposed with respect to the pseudo-orthogonal group into the sum of the Weyl conformal. A similar decomposition with respect to the pseudo-unitary group exists on a pseudo-Kahlerian manifold; instead of the Weyl tens...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Parallel spinors on Lorentzian Weyl spaces

Holonomy algebras of Lorentzian Weyl spin manifolds with weighted parallel spinors are found. For Lorentzian Weyl manifolds admitting recurrent null vector. Using that, the local form of all Lorentzian Weyl spin manifolds w...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

The Weyl tensors

The Weyl tensors are described.

BA - Obecná matematika

  • 2003
  • Jx
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