Results 31 to 40 of about 863 (70)
On the distributional Stieltjes transformation
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 313-317, 1986., 1985 This paper is concerned with some general theorems on the distributional Stieltjes transformation. Some Abelian theorems are proved.
D. Nikolic-Despotovic, A. Takaci
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Abelian and Tauberian results for the fractional Fourier cosine (sine) transform
AIMS MathematicsIn this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms.
Snježana Maksimović +4 more
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Gabor frames and asymptotic behavior of Schwartz distributions [PDF]
, 2016 We obtain characterizations of asymptotic properties of Schwartz distribution by using Gabor frames. Our characterizations are indeed Tauberian theorems for shift asymptotics (S-asymptotics) in terms of short-time Fourier transforms with respect to ...
Kostadinova, Sanja +2 more
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Tensor products of commutative Banach algebras
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 3, Page 503-512, 1982., 1982 Let A1, A2 be commutative semisimple Banach algebras and A1⊗∂A2 be their projective tensor product. We prove that, if A1⊗∂A2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A1 and A2. As a consequence, we prove that, if G is a locally compact abelian group and A is a comutative semi‐simple Banach algebra, then the ...
U. B. Tewari, M. Dutta, Shobha Madan
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Recent developments in the theory of Walsh series
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 625-673, 1982., 1982 We survey research done on the theory of Walsh series during the decade 1971‐1981. Particular attention is given to convergence of Walsh‐Fourier series, gap Walsh series, growth of Walsh‐Fourier coefficients, dyadic differentiation, and uniqueness of Walsh series.
William R. Wade
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, 2007 We give a sufficient condition for the exponential decay of the tail probability of a non-negative random variable. We consider the Laplace-Stieltjes transform of the probability distribution function of the random variable.
Nakagawa, Kenji
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On General Prime Number Theorems with Remainder [PDF]
, 2017 We show that for Beurling generalized numbers the prime number theorem in remainder form $$\pi(x) = \operatorname*{Li}(x) + O\left(\frac{x}{\log^{n}x}\right) \quad \mbox{for all } n\in\mathbb{N}$$ is equivalent to (for some $a>0$) $$N(x) = ax + O\left ...
Debruyne, Gregory, Vindas, Jasson
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An elementary approach to asymptotic behavior in the Cesaro sense and applications to Stieltjes and Laplace transforms [PDF]
, 2015 We present an elementary approach to asymptotic behavior of generalized functions in the Cesaro sense. Our approach is based on Yosida's subspace of Mikusinski operators.
Nemzer, Dennis, Vindas Diaz, Jasson
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On distributional point values and boundary values of analytic functions [PDF]
, 2012 We give the following version of Fatou's theorem for distributions that are boundary values of analytic functions. We prove that if $f\in\mathcal{D}^{\prime}(a,b) $ is the distributional limit of the analytic function $F$ defined in a region of the form $
Estrada, Ricardo, Vindas, Jasson
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Tauberian Results for Densities with Gaussian Tails [PDF]
, 2017 We study a class of probability densities with very thin upper tails. These densities generate exponential families which are asymptotically normal. Furthermore the class is closed under convolution.
Balkema, A. A. +2 more
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