Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques

DOI10.2307/1996468zbMath0278.43015OpenAlexW4239140433MaRDI QIDQ4765075

Publication date: 1973

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1996468

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability methods on groups, semigroups, etc. (43A55)

Related Items (79)

Kolmogorov and linear widths of weighted Besov classes ⋮ On \(L^ p\) multipliers of Cartan motion groups ⋮ Two-weight norm inequalities for Cesàro means of Laguerre expansions ⋮ Spectral multiplier theorems and averaged \(R\)-boundedness ⋮ Multiplier Criteria of Marcinkiewicz Type for Jacobi Expansions ⋮ Oscillatory integrals and spherical harmonics ⋮ Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds ⋮ Weighted fractional Bernstein's inequalities and their applications ⋮ Convergence rate of Cesàro means of Fourier--Laplace series ⋮ Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ An extrapolation theorem for nonlinear approximation and its applications ⋮ On the Cesàro means of conjugate Jacobi series ⋮ Maximal functions and multiplier theorem for Fourier orthogonal series ⋮ Weighted polynomial approximation of functions of several variables ⋮ Convergence rate of Fourier-Laplace series of \(L^{2}\)-functions ⋮ Approximations in \(L^1\) with convergent Fourier series ⋮ Riesz means of eigenfunction expansions of elliptic differential operators on compact manifolds ⋮ Reproducing kernel for the Herglotz functions in \(\mathbb {R}^n\) and solutions of the Helmholtz equation ⋮ Jacobi polynomial estimates and Fourier-Laplace convergence ⋮ On linear summation methods of Fourier-Laplace series ⋮ A Mikhlin-type multiplier theorem for the partial harmonic oscillator ⋮ Summability of orthogonal expansions of several variables. ⋮ The Littlewood-Paley Theory for Jacobi Expansions ⋮ Noncommutative pointwise convergence of orthogonal expansions of several variables ⋮ Approximation tools and decay rates for eigenvalues of integral operators on a general setting ⋮ Multiplier Transformations on Compact Lie Groups and Algebras ⋮ Estimates of \(n\)-widths of Sobolev's classes on compact globally symmetric spaces of rank one. ⋮ The estimations for maximal operators ⋮ The approximation of functions from \(L \log L(\log \log L)(S^N)\) by Fourier-Laplace series ⋮ Riemann localisation on the sphere ⋮ Fourier-Laplace series on a sphere ⋮ Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere ⋮ Multivariate approximating averages. ⋮ Unifying multiplier theorems of Hörmander, Marcinkiewicz, and Michlin type ⋮ Sharp estimates of the Cesàro kernels for weighted orthogonal polynomial expansions in several variables ⋮ A Cohen-type inequality for Jacobi expansions and divergence of Fourier series on compact symmetric spaces ⋮ Quasi-interpolation on the 2-sphere using radial polynomials ⋮ Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics ⋮ Sufficient conditions for sampling and interpolation on the sphere ⋮ Convergence rate of spherical harmonic expansions of smooth functions ⋮ Dunkl spectral multipliers with values in UMD lattices ⋮ Jackson inequality for Banach spaces on the sphere ⋮ Needlet approximation for isotropic random fields on the sphere ⋮ Transference results for multiplier operators ⋮ Almost everywhere divergence of spherical harmonic expansions and equivalence of summation methods ⋮ The convergence in Lp-norm of conjugate Laplace series ⋮ On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces ⋮ A transference theorem for the Dunkl transform and its applications ⋮ Sommes de Riesz et multiplicateurs sur un groupe de Lie compact ⋮ Central multiplier theorems for compact Lie groups ⋮ Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights ⋮ Polynomial operators and local smoothness classes on the unit interval ⋮ Combinations of multivariate averages ⋮ On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces ⋮ Approximation on Banach spaces of functions on the sphere ⋮ Generalized translation operator and approximation in several variables ⋮ Summability of Fourier-Laplace series with the method of lacunary arithmetical means at Lebesgue points ⋮ Approximation of smooth functions on compact two-point homogeneous spaces ⋮ Maximal function and multiplier theorem for weighted space on the unit sphere ⋮ Cesàro means of orthogonal expansions in several variables ⋮ Coefficients multipliers of weighted spaces of harmonic functions ⋮ Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms ⋮ Boundedness of projection operators and Cesàro means in weighted 𝐿^{𝑝} space on the unit sphere ⋮ Intertwining operator associated to symmetric groups and summability on the unit sphere ⋮ Geodesic distance Riesz energy on the sphere ⋮ On linear summation methods of Fourier-Laplace series. II ⋮ On central multipliers for compact Lie groups ⋮ Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres ⋮ Optimal approximation on \(S^d\) ⋮ Uniqueness of spherical harmonic expansions ⋮ Characterizations of function spaces on the sphere using frames ⋮ Some Necessary Conditions for Radial Fourier Multipliers ⋮ Localization of spherical harmonic expansions ⋮ Weighted estimates of singular integrals and their applications ⋮ Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds ⋮ Summation by Riesz means of the Fourier-Laplace series ⋮ A contraction of SU(2) to the Heisenberg group ⋮ The 𝑊^{𝑠,𝑝}-boundedness of stationary wave operators for the Schrödinger operator with inverse-square potential ⋮ Two-weight norm inequalities for the Cesàro means of Hermite expansions

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