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Matching pursuit with unbounded parameter domains
In various applications, the adoption of optimal energy matching pursuit with dictionary elements is common. When the dictionary elements are indexed...
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On the Fractional Sums of Some Special Functions
We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and...
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Classical Sampling Series of Band Limited Functions: Oversampling and Non-existence
Growth conditions are given on the samples f ( n ), n = 0 , ± 1, ± 2, … , of an entire function f ( z ) of exponential type less than π that imply that the...
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Cardinal Sine Series: Convergence and Uniqueness
Many aspects of the cardinal sine series, particularly those associated with the mathematical theory of sampling in signal processing, are very well...
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Multicentric Holomorphic Calculus
We show how for any bounded operator or an element of a Banach algebra one can construct a practical power series calculus.
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On the construction of uniformly convergent disk polynomial expansions
We present a method to derive explicit uniformly convergent disk polynomial expansions for real-analytic functions on the complex unit disk. As an...
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Sequences of Exponents in Constructing Strongly Annular Products
This paper gives conditions on the behavior of a sequence of holomorphic functions { f k ( z )} and a strictly increasing sequence of positive integers {
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Order statistics for the Cantor-Fibonacci distribution
The Cantor distribution is a probability distribution whose cumulative distribution function is the Cantor function. It is obtained from strings...
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Expansion of the Heisenberg Integral Mean via Iterated Kohn Laplacians: A Pizzetti-type Formula
A generalization and some applications of the so-called Pizzetti's Formula (which expresses the integral mean of a smooth function over an Euclidean...
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Classic spectral problems
This article is dedicated to the detailed investigation of classic spectral problems. We show that the string matrix equation and the Sturm-Liouville...
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On some global aspects of the theory of partial differential equations on manifolds with singularities
In this paper we investigate the connection between asymptotic expansions of solutions to elliptic equations near different points of singularities...
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