The spherical Paley-Wiener theorem on the complex Grassmann manifolds SU(𝑝+𝑞)/S(U_{𝑝}×U_{𝑞})
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Publication:5469229
DOI10.1090/S0002-9939-06-08408-5zbMath1106.43005OpenAlexW1605277887MaRDI QIDQ5469229
Publication date: 17 May 2006
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08408-5
Fractional derivatives and integrals (26A33) Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
Related Items (5)
The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case ⋮ The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces ⋮ A local Paley-Wiener theorem for compact symmetric spaces ⋮ Convolution of $\chi$-orbital Measures on Complex Grassmannians ⋮ Fourier series on compact symmetric spaces: \(K\)-finite functions of small support
Cites Work
- The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case
- The inverse Abel transform for SU(p,q)
- Local harmonic analysis on spheres
- Spherical functions and invariant differential operators on complex Grassmann manifolds
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- L'intégrale de Riemann-Liouville et le problème de Cauchy
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