Beurling ultradistributions of \(L_{p}\)-growth
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Publication:1874589
DOI10.1016/S0022-247X(03)00006-4zbMath1023.46042OpenAlexW2086867852MaRDI QIDQ1874589
Antonio Galbis, Carmen Fernández, Jorge J. Betancor
Publication date: 25 May 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00006-4
Convolution as an integral transform (44A35) Operations with distributions and generalized functions (46F10) Hypoelliptic equations (35H10) Distributions and ultradistributions as boundary values of analytic functions (46F20)
Related Items (6)
Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces ⋮ Compatibility conditions and the convolution of functions and generalized functions ⋮ Pseudodifferential operators of Beurling type and the wave front set ⋮ Cauchy and Poisson integral of the convolutor in Beurling ultradistributions of \(L_p\)-growth ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\) ⋮ On the space of ultradistributions vanishing at infinity
Cites Work
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- On the convolution in the space \({\mathcal D}^{\prime(M_ p)}_{L^ 2}\)
- Calculation of the bidual for some function spaces. Integrable distributions
- Solvability of convolution equations in \({\mathcal D}_{L^p}^\prime\)
- Ultradifferentiable functions and Fourier analysis
- Linear partial differential operators and generalized distributions
- La transformation de Fourier complexe et l'équation de convolution
- Almost periodic ultradistributions of Beurling and of Roumieu type
- The Characterization of the Almost Periodic Ultradistributions of Beurling Type
- [https://portal.mardi4nfdi.de/wiki/Publication:4122395 Hypoelliptic Convolution Equations in � p , p > 1]
- On the Hypoellipticity of Convolution Equations in the Ultradistribution Spaces of L q Growth
- On the Convolution Equations in the Space of Distributions of L p -Growth
- Elliptic convolution operators on non-quasianalytic classes
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