Results 11 to 20 of about 863 (70)
Journal of Mathematical Analysis and Applications, 1991 The author investigates the precise relationship between local regular variation behaviour of an integrable function and the behaviour of its Fourier transform at plus/minus infinity. For a.c. functions \(F\) of bounded variation, with density \(f\) and Fourier transform \(\widehat f\), expressions like (i) \(\lim_{t\to\infty} [F^{(m)} (x\pm 1/t)- F ...
Daren B. H. Cline
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Voronoi means, moving averages, and power series [PDF]
, 2016 We introduce a {\it non-regular} generalisation of the N\"{o}rlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series.
Bingham, N. H., Gashi, Bujar
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The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics [PDF]
, 2016 We study the short-time Fourier transform on the space $\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces in terms of modulation spaces.
Kostadinova, Sanja +3 more
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Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
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On PNT equivalences for Beurling numbers [PDF]
, 2017 In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case.
Debruyne, Gregory, Vindas Diaz, Jasson
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Multidimensional Tauberian theorems for vector-valued distributions [PDF]
, 2014 We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M-phi(f)(x, y) = (f * phi(y))(x), (x, y) is an element of R-n x R+, with kernel phi(y) (t) =
Pilipović, Stevan, Vindas Diaz, Jasson
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Convergence Rates and Limit Theorems for the Dual Markov Branching Process
Journal of Probability and Statistics, Volume 2017, Issue 1, 2017., 2017 This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent. Additional discussion is given about specifications of the Markov branching process and its dual. The dualising Markov branching
Anthony G. Pakes +1 more
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The ridgelet transform and quasiasymptotic behavior of distributions [PDF]
, 2015 We characterize the quasiasymptotic behavior of distributions in terms of a Tauberian theorem for ridgelet transforms.Comment: 13 ...
Kostadinova, Sanja +3 more
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Journal of Function Spaces, Volume 8, Issue 2, Page 167-179, 2010., 2010 H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}. We introduce a Banach algebra Q that properly lies between H1 and L1, and use it to show that c(1 + ln n) ≤ ||vn||H1 ≤ Cn1/2 ...
R. L. Johnson +2 more
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