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Multiparameter Abelian ergodic theorems of Chacon–Báez–Duarte type
We prove a multiparameter L log k L generalization of the Báez–Duarte Abelian ergodic theorem for positive linear contractions on L 1 , which allows the...
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Korovkin Type Theorems for Cheney–Sharma Operators via Summability Methods
Korovkin type approximation theory is concerned with the convergence of the sequences of positive linear operators to the identity operator. In this...
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Almost everywhere convergence of multiple operator averages for affine semigroups
This paper projects another affine case study in the program of analyzing multiparameter a.e. convergence, based on the Sucheston’s type convergence...
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The Abel Summability of Conjugate Laplace Series of Measures
This paper deals with the summability of conjugate Laplace series. In particular, the Abel summability is proved and an integral representation of...
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On the Summation of Taylor’s Series on the Contour of the Domain of Summability
Editors’ notes*: In this paper N. Obrechkoff defined a general method of summation or, more precisely, a method of Borel (B) type for analytical...
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A theorem for the (J, p) summability method
A theorem of slowly decreasing type is proved for the ( J , p ) summability method.
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Convergence of series in three parametric Mittag-Leffler functions
In this paper we consider a family of 3-index generalizations of the classical Mittag-Leffler functions. We study the convergence of series in such...
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Distributional versions of littlewood’s Tauberian theorem
We provide several general versions of Littlewood’s Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions....
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On Tauberian theorems for (A, k) summability method
Let ( u n ) be a sequence of real numbers. In this paper we introduce some Tauberian conditions in terms of regularly generated sequences for ( A, k )...
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On the Existence of Quasipattern Solutions of the Swift–Hohenberg Equation
Quasipatterns (two-dimensional patterns that are quasiperiodic in any spatial direction) remain one of the outstanding problems of pattern formation....
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Integrability of Hamiltonian systems and transseries expansions
This paper studies analytic Liouville-nonintegrable and C ∞ -Liouville-integrable Hamiltonian systems with two degrees of freedom. We prove the...
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Tauberian theorems for Abel limitability method
This paper addresses conditions for the Abel method of limitability to imply convergence and subsequential convergence.
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Multisummability and the Stokes phenomenon
We define elementary acceleration operators and accelero-Laplace transformations on certain classes of (germs of) hyperfunctions on ℝ. The type of...
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P
A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime numbers). The class of...
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A
One of the generalizations of the Lebesgue integral, given by E. Titchmarsh [1] for the integration of functions conjugate to summable ones. A...
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