A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. [PDF]
J Geom Anal, 2020 We prove that, for asymptotically bounded holomorphic functions in a sector in $\mathbb{C}$, an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximate ...
Jiménez-Garrido J, Sanz J, Schindl G.
europepmc +2 more sources
Regularity properties of distributions through sequences of functions [PDF]
, 2012 We give necessary and sufficient criteria for a distribution to be smooth or uniformly H\"{o}lder continuous in terms of approximation sequences by smooth functions; in particular, in terms of those arising as regularizations $(T\ast\phi_{n})$.Comment ...
C. Garetto +10 more
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Regularly varying probability densities [PDF]
, 2006 The convolution of regularly varying probability densities is proved asymptotic to their sum, and hence is also regularly varying.
Bingham, N. H. +2 more
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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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Multiresolution expansions of distributions : pointwise convergence and quasiasymptotic behavior [PDF]
, 2015 In several variables, we prove the pointwise convergence of multiresolution expansions to the distributional point values of tempered distributions and distributions of superexponential growth. The article extends and improves earlier results by G.
Kostadinova, Sanja, Vindas Diaz, Jasson
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, 2014 The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric Mean theorem known maybe better under the name of AM-GM inequality or Cauchy mean theorem. It states that the arithmetic mean of a list of a non-negative
Grabowski, Adam
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Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions [PDF]
, 2014 In the paper, the author establishes inequalities, monotonicity, convexity, and unimodality for functions concerning the modified Bessel functions of the first kind and compute the completely monotonic degrees of differences between the exponential and ...
Qi, Feng
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New classes of weighted H\"older-Zygmund spaces and the wavelet transform [PDF]
, 2012 We provide a new and elementary proof of the continuity theorem for the wavelet and left-inverse wavelet transforms on the spaces $ \mathcal{S}_0(\mathbb{R}^n) $ and $ \mathcal{S}(\mathbb{H}^{n+1})$. We then introduce and study a new class of weighted H\"
Pilipovic, Stevan +2 more
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The structure of quasiasymptotics of Schwartz distributions [PDF]
, 2010 In this article complete characterizations of quasiasymptotic behaviors of Schwartz distributions are presented by means of structural theorems. The cases at infinity and the origin are both analyzed.
Vindas Diaz, Jasson
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Uniform bounds on growth in o-minimal structures
, 2010 We prove that a function definable with parameters in an o-minimal structure is bounded away from infinity as its argument goes to infinity by a function definable without parameters, and that this new function can be chosen independently of the ...
Friedman +4 more
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