Divergent Jacobi Polynomial Series
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Publication:3949494
DOI10.2307/2043632zbMath0488.42031OpenAlexW4241280926MaRDI QIDQ3949494
Publication date: 1983
Full work available at URL: https://doi.org/10.2307/2043632
Harmonic analysis on homogeneous spaces (43A85) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Partial differential equations on manifolds; differential operators (58J99) Uniqueness and localization for orthogonal series (42C25)
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Cites Work
- Localization of spherical harmonic expansions
- A Cohen-type inequality for Jacobi expansions and divergence of Fourier series on compact symmetric spaces
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
- On the Weak Behaviour of Partial Sums of Legendre Series
- Polyhedral Summability of Fourier Series on Compact Lie Groups
- The Weak Behavior of Spherical Means
- Gaussian processes on compact symmetric spaces
- Jacobi polynomial expansions with positive coefficients and imbeddings of projective spaces
- Mean Convergence of Jacobi Series
- The Convergence Almost Everywhere of Legendre Series
- Mean Convergence of Orthogonal Series