Multipliers for Spherical Harmonic Expansions
From MaRDI portal
Publication:5658558
DOI10.2307/1996130zbMath0246.42003OpenAlexW4230031295MaRDI QIDQ5658558
Publication date: 1972
Full work available at URL: https://doi.org/10.2307/1996130
Harmonic analysis on homogeneous spaces (43A85) Multipliers in one variable harmonic analysis (42A45) Spherical harmonics (33C55) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items
On localized potential spaces, On weighted transplantation and multipliers for Laguerre expansions, Pseudodifferential operators with rough symbols, Decomposition of Besov and Triebel-Lizorkin spaces on the sphere, Bilinear square spectral multipliers on stratified groups, Reproducing kernel for the Herglotz functions in \(\mathbb {R}^n\) and solutions of the Helmholtz equation, From Strichartz Estimates to Differential Equations on Fractals, Littlewood-Paley \(g\)-function on the Heisenberg group, Singular integrals and Fourier multipliers on unit spheres and their Lipschitz perturbations, Unifying multiplier theorems of Hörmander, Marcinkiewicz, and Michlin type, Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere, On the existence and uniqueness of solution to problems of fluid dynamics on a sphere, A multiplier theorem for the sublaplacian on the Heisenberg group, Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system, Differentiability properties of the symbol of a generalized Riesz potential with homogeneous characteristic, Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms, Weighted Strichartz estimates with angular regularity and their applications, Estimates of n -widths of Besov classes on two-point homogeneous manifolds, Inversion and characterization of the hemispherical transform, Characterizations of function spaces on the sphere using frames, \(L^ 2\) multipliers with power weights
Cites Work
- Unnamed Item
- Unnamed Item
- On the behavior of special classes of ultraspherical expansions. I, II
- Applications de la théorie des espaces d'interpolation dans l'analyse harmonique
- Classical Expansions and Their Relation to Conjugate Harmonic Functions
- Multipliers in $L^p$ and interpolation
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Intermediate spaces and interpolation, the complex method
- 𝐿^{𝑝} boundedness of certain convolution operators
- Multipliers on Compact Lie Groups
- A Functional Calculus for Elliptic Pseudo-Differential Operators