Almost periodic ultradistributions of Beurling and of Roumieu type

DOI10.1090/S0002-9939-00-05806-8zbMath0984.46023OpenAlexW1644636376MaRDI QIDQ2719006

M. Carmen Gómez-Collado

Publication date: 14 May 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05806-8

zbMATH Keywords

weight functionFourier coefficientsYoung conjugatesequence of trigonometric polynomialsbounded ultradistributionsalmost periodic ultradistributionsbounded ultradistribution

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (13)

Beurling ultradistributions of \(L_{p}\)-growth ⋮ Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions ⋮ Unnamed Item ⋮ Almost periodic pseudodifferential operators and Gevrey classes ⋮ Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces ⋮ Unnamed Item ⋮ Pseudodifferential operators of Beurling type and the wave front set ⋮ Periodic tempered distributions of Beurling type and periodic ultradifferentiable functions with arbitrary support ⋮ Regularity of solutions of convolution equations ⋮ Cauchy and Poisson integral of the convolutor in Beurling ultradistributions of \(L_p\)-growth ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\) ⋮ Vector-valued almost automorphic distributions and vector-valued almost automorphic ultradistributions ⋮ Asymptotic boundedness and moment asymptotic expansion in ultradistribution spaces

Cites Work

• Ultradifferentiable functions and Fourier analysis
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type
• Linear partial differential operators and generalized distributions
• Asymptotically almost periodic distributions
• The Characterization of the Almost Periodic Ultradistributions of Beurling Type
• Characterizations of Bounded Sets in Spaces of Ultradistributions
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