Results 21 to 30 of about 863 (70)
Tauberian class estimates for vector-valued distributions [PDF]
, 2019 We study Tauberian properties of regularizing transforms of vector-valued tempered distributions, that is, transforms of the form $M^{\mathbf{f}}_{\varphi}(x,y)=(\mathbf{f}\ast\varphi_{y})(x)$, where the kernel $\varphi$ is a test function and $\varphi_ ...
Pilipović, Stevan, Vindas, Jasson
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Tauberian‐type theorems with application to the Stieltjes transformation
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 In the first part, we define the space L′(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian‐type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.
S. B. Gaikwad, M. S. Chaudhary
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New inversion formulas for the Krätzel transformation
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 253-263, 2001., 2001 We study in distributional sense by means of the kernel method an integral transform introduced by Krätzel. It is well known that the cited transform generalizes to the Laplace and Meijer transformation. Properties of analyticity, boundedness, and inversion theorems are established for the generalized transformation.
Domingo Israel Cruz-Báez +1 more
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Charged structure constants from modularity [PDF]
, 2017 We derive a universal formula for the average heavy-heavy-light structure constants for 2d CFTs with non-vanishing u(1) charge. The derivation utilizes the modular properties of one-point functions on the torus.
Das, Diptarka +2 more
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On a family of Wiener type spaces
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 57-66, 1996., 1994 Research on Wiener type spaces was initiated by N.Wiener in [15]. A number of authors worked on these spaces or some special cases of these spaces. A kind of generalization of the Wiener′s definition was given by H.Feichtinger in [2] as a Banach spaces of functions (or measures, distributions) on locally compact groups that are defined by means of the ...
R. H. Fischer +2 more
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Wiener Tauberian theorems for vector‐valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 475-478, 1994., 1993 Different versions of Wiener′s Tauberian theorem are discussed for the generalized group algebra L1(G, A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A‐valued Fourier transforms. A weak form of Wiener′s Tauberian property is introduced and it is proved that L1(G,
K. Parthasarathy, Sujatha Varma
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Conditional limit theorems for branching processes
International Journal of Stochastic Analysis, Volume 4, Issue 4, Page 263-292, 1991., 1991 Let [ξ(m), m = 0, 1, 2, …] be a branching process in which each individual reproduces independently of the others and has probability pj(j = 0, 1, 2, …) of giving rise to j descendants in the following generation. The random variable ξ(m) is the number of individuals in the mth generation. It is assumed that P{ξ(0) = 1} = 1.
Lajos Takács
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Sojourn measures of Student and Fisher-Snedecor random fields [PDF]
, 2014 Limit theorems for the volumes of excursion sets of weakly and strongly dependent heavy-tailed random fields are proved. Some generalizations to sojourn measures above moving levels and for cross-correlated scenarios are presented.
Leonenko, Nikolai, Olenko, Andriy
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Abelian theorems for Whittaker transforms
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 3, Page 417-431, 1987., 1986 Initial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in the right half plane.
Richard D. Carmichael, R. S. Pathak
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Recent developments on the Stieltjes transform of generalized functions
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 641-670, 1987., 1986 This paper is concerned with recent developments on the Stieltjes transform of generalized functions. Sections 1 and 2 give a very brief introduction to the subject and the Stieltjes transform of ordinary functions with an emphasis to the inversion theorems.
Ram Sankar Pathak, Lokenath Debnath
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