One-radius theorem for harmonic tempered distributions
-
Mohamed Ben Chrouda
and
Kods Hassine
Abstract
We show that the “one-radius” spherical mean value property is sufficient to characterize harmonic tempered distributions subject to the classical Laplace operator.
Acknowledgements
The authors thank the referee for his useful suggestions and remarks.
References
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Articles in the same Issue
- Frontmatter
- The Wigner transformation associated with the Hankel multidimensional operator
- Index for generalized Fredholm operators and generalized perturbation theory
- One-radius theorem for harmonic tempered distributions
- Optimal convergence factors for general Fourier coefficients
- Natural transformations for quasigroupoids
- Numerical solution for a nonlinear diffusion model with source terms
- Multiplicative (generalized)-reverse derivations in rings and Banach algebras
- Variational approach of p-Laplacian impulsive differential equations with periodic conditions
- Solvable groups with four conjugacy classes outside a normal subgroup
- Quadratic-phase orthonormal wavelets
- Uncertainty inequality on weighted Hardy spaces
- Faithful representations of the Galilean Lie algebra in two spatial dimensions
- Weighted composition operators from Dirichlet–Zygmund-type spaces into Stević-type spaces
Articles in the same Issue
- Frontmatter
- The Wigner transformation associated with the Hankel multidimensional operator
- Index for generalized Fredholm operators and generalized perturbation theory
- One-radius theorem for harmonic tempered distributions
- Optimal convergence factors for general Fourier coefficients
- Natural transformations for quasigroupoids
- Numerical solution for a nonlinear diffusion model with source terms
- Multiplicative (generalized)-reverse derivations in rings and Banach algebras
- Variational approach of p-Laplacian impulsive differential equations with periodic conditions
- Solvable groups with four conjugacy classes outside a normal subgroup
- Quadratic-phase orthonormal wavelets
- Uncertainty inequality on weighted Hardy spaces
- Faithful representations of the Galilean Lie algebra in two spatial dimensions
- Weighted composition operators from Dirichlet–Zygmund-type spaces into Stević-type spaces
