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On hankel transforms of ultradistributions
Applicable Analysis, 1985On developpe une theorie des espaces de fonctions test Hμ ,ad k, Hμ bq et Hμ ,ad k bq . Ce sont des generalisations des espaces fonctions test de type Hμ. Les elements des espaces duaux sont appeles ultradistributions. On montre que la transformation de Hankel hμ pour μ≥-1/2 est une application lineaire continue pour chacun de ces espaces dans ...
R. S. Pathak, A. B. Pandey
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Boundary values in ultradistribution spaces
Complex Variables, Theory and Application: An International Journal, 1998A mistake in [2] is corrected; the mistake was made in an underlying lemma for the ultradistribution boundary value results in contained in [2]. After correcting the mistake we note that the ultradistribution boundary value results remain correct exactly as previously stated. Additionally, future research in this area is indicated and a new lemma which
Richard D. Carmichael, S. Pilipović
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Ultradistributions and Time-Frequency Analysis
2006The aim of the paper is to show the connection between the theory of ultradistributions and time-frequency analysis. This is done through time-frequency representations and modulation spaces. Furthermore, some classes of pseudo-differential operators are observed.
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Hyperfunctions, Ultradistributions and Microfunctions
1993As exemplified in the introduction of L. Schwartz’ book [24] individual generalized functions had been known before he introduced the distributions D′ (Ω) in 1948–51. Dirac’s δ function and Hadamard’s finite part of x + α , α < -1, are famous. More generally P. Levy [16] had determined the dual of C m ([a, b]).
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