Results 171 to 180 of about 1,091 (210)

Stieltjes transform for Boehmians

Integral Transforms and Special Functions, 2007
To extend, the distributional Stieltjes transform on , to the context of Boehmians, two suitable Boehmian spaces are constructed. The extended Stieltjes transform of a Boehmian is defined as another Boehmian. It is proved that the extended Stieltjes transform is well defined, consistent with the distributional Stieltjes transform and it has all desired
R Roopkumar
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Modified Stieltjes Transform and Generalized Convolutions of Probability Distributions

Journal of Risk and Financial Management, 2018
The classical Stieltjes transform is modified in such a way as to generalize both Stieltjes and Fourier transforms. This transform allows the introduction of new classes of commutative and non-commutative generalized convolutions.
Lev B Klebanov, Rasool Roozegar
exaly   +2 more sources

On Fourier-Stieltjes Transforms

Canadian Journal of Mathematics, 1955
Let be the class of bounded non-decreasing functions defined on the real line which are normalized by the conditions ϕ(− ∞) = 0 , ϕ(t + 0) = ϕ(t).Let be the class of Fourier-Stieltjes transforms of elements of i.e. the elements of and are connected by the relationwhere ϕ ∊ and Φ ∊ .It is well known, and easy to verify that this mapping from to ...
Calderón, Alberto P., Devinatz, A.
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On generalisations of Stieltjes transform

Rendiconti del Circolo Matematico di Palermo, 1969
In this paper two different generalisations of the Stieltjes transform have been given along with their inversion formulae. The results are given in the form of two theorems. These two theorems yield many known generalisations of the transform in question as particular cases on specializing the parameters involved therein.
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FOURIER-STIELTJES TRANSFORMS ON HYPERGROUPS

Analysis, 1982
For commutative hypergroups K several characterizations of continuous functions \(\phi\) on the dual character space K{\^{\ }} as Fourier transforms \(\phi =\mu {\hat{\;}}\) are given, \(\mu \in M(K)\) denotes the complex regular Borel measures on K. Samples: 1) \(\phi\) is a Fourier transform iff \(\phi \cdot g{\hat{\;}}\) is one for each \(g\in L^ 1 ...
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Tauberian Theorem for the Stieltjes Transform

Mathematical Notes, 2003
The author proves an inversion theorem of Tauberian type for the Stieltjes transform, which gives an asymptotic equivalence at infinity of the positive functions under weak constraints as a consequence of the asymptotic equivalence of their Stieltjes transforms at infinity.
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The Stieltjes–Laplace Transform

Trends in Abstract and Applied Analysis
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A note on the Stieltjes transformation

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1988
SynopsisA necessary and sufficient condition for the boundedness of the generalised Stieltjes transformation on weighted Lebesgue spaces is obtained and applied to extend the Hilbert double series theorem.
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Asymptotic Behavior of Stieltjes Transforms. I

Journal of Mathematical Physics, 1967
Several theorems are proved concerning the asymptotic behavior of Stieltjes transforms as |z| approaches infinity, in a sector of the complex z plane which does not include the cut in the transform. The asymptotic behavior of the transform is related to the asymptotic behavior, for large values of the argument, of the function whose transform is taken.
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Abelian Theorem for the Distributional Stieltjes Transform

Zeitschrift für Analysis und ihre Anwendungen, 1987
Using the notion of quasi-asymptotic behaviour at infinity of tempered distributions, we give an Abelian theorem for the distributional Stieltjes transform. It includes all known results, as well as some new ones.
Pilipović, Stevan, Stanković, Bogoljub
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