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Integral representation of the heat kernel on the complex projective space \({\mathbb P}({\mathbb C})\), \(n\geq 1\).

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Publication:1565888
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DOI10.1016/S1631-073X(02)02582-7zbMath1017.22007MaRDI QIDQ1565888

Ahmed Intissar, Ali Hafoud

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

integral representationJacobi polynomialsheat kernelsFubini-Study Laplacians


Mathematics Subject Classification ID

Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Analysis on real and complex Lie groups (22E30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)


Related Items

Explicit formulas of the heat kernel on the quaternionic projective spaces ⋮ Evaluating the Mahler measure of linear forms via the Kronecker limit formula on complex projective space



Cites Work

  • Spherical Harmonic Expansion of the Poisson-Szego Kernel for the Ball
  • Noyau de diffusion sur les espaces homogènes compacts
  • The heat kernel on the two-sphere
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