Tempered Boehmians and Ultradistributions

DOI10.2307/2160805zbMath0821.46053OpenAlexW4253811355MaRDI QIDQ4327660

Mikusiński, Piotr

Publication date: 10 April 1995

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

Full work available at URL: https://doi.org/10.2307/2160805

zbMATH Keywords

Fourier transformultradistributionsone-to-one continuous mapping from the space of tempered Boehmians onto the space of Schwartz distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Calculus of Mikusi?ski and other operational calculi (44A40) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (30)

Some extensions of a certain integral transform to a quotient space of generalized functions ⋮ Unnamed Item ⋮ Multidimensional quaternionic Gabor transforms ⋮ A class of Boehmians for a recent generalization of Hankel-Clifford transformation of arbitrary order ⋮ Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians ⋮ Unified treatment of the Krätzel transformation for generalized functions ⋮ On a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of Boehmians ⋮ Estimation of the generalized Bessel-Struve transform in a space of generalized functions ⋮ An extension of the Bessel-Wright transform in the class of Boehmians ⋮ On the generalized Hartley-Hilbert and Fourier-Hilbert transforms ⋮ An estimate of Sumudu transforms for boehmians ⋮ A fractional Fourier integral operator and its extension to classes of function spaces ⋮ Curvelet transform for Boehmians ⋮ The Hankel transform of tempered Boehmians via the exchange property ⋮ The Watson Fourier transform on a certain class of generalized functions ⋮ On the generalized Hartley and Hartley-Hilbert transformations ⋮ Note on Boehmians for class of optical Fresnel wavelet transforms ⋮ On modified Mellin transform of generalized functions ⋮ An algebraic approach to tempered distributions ⋮ The Fourier Chébli-Trimèche transform on Boehmians ⋮ Quaternionic Stockwell transform ⋮ Unnamed Item ⋮ On the generalized Krätzel transform and its extension to Bohemian spaces ⋮ Fourier transform and the Boehme property ⋮ Stockwell transform for Boehmians ⋮ ON A CLASS OF GENERALIZED FUNCTIONS FOR SOME INTEGRAL TRANSFORM ENFOLDING KERNELS OF MEIJER G FUNCTION TYPE ⋮ Plancherel theorem for vector valued functions and Boehmians ⋮ Remarks on topological properties of Boehmians ⋮ Hilbert transform for boehmians ⋮ Boehmians and fourier transform

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