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Convolution powers of complex functions on Z。
An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
2012/6/19
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
Exact Parameterized Multilinear Monomial Counting via k-Layer Subset Convolution and k-Disjoint Sum
Parameterized MultilinearConvolution
2012/12/3
We present new algorithms for exact multilinear k-monomial counting which is to compute the sum of coefficients of all degree-k multilinear monomials in a given polynomial P over a ring R described by...
Abstract: In a convolution semigroup over a locally compact group, measurability of the translation by a fixed element implies continuity. In other words, the measurable centre coincides with the topo...
Convolution powers in the operator-valued framework
Convolution powers the operator-valued framework Operator Algebras
2011/9/9
Abstract: We consider the framework of an operator-valued noncommutative probability space over a unital C*-algebra B. We show how for a B-valued distribution \mu one can define convolution powers wit...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Smoothness of Extremizers of a Convolution Inequality
Extremizers Euler-Lagrange equation smoothness multilinear bounds
2011/2/28
Let d ≥ 2 and T be the convolution operator T f(x) = R Rd−1 f(x′ − t, xd − |t|2) dt, which is is bounded from L(d+1)/d(Rd) to Ld+1(Rd). We show that any critical point f ∈ L(d+1)/d o...
On uniqueness of semi-wavefronts (Diekmann-Kaper theory of a nonlinear convolution equation re-visited)
semi-wavefronts Diekmann-Kaper theory
2010/11/22
Motivated by the uniqueness problem for monostable semi-wavefronts, we propose a revised version of the Diekmann and Kaper theory of a nonlinear convolution equation. Our version of the Diekmann-Kape...
Measurement error and convolution in generalized functions spaces
Measurement error convolution generalized functions spaces
2010/12/9
This paper considers convolution equations that arise from problems such as deconvolution and non-parametric regression with errors in variables. The equations are examined in spaces of generalized fu...
Derivation of an integral of Boros and Moll via convolution of Student t-densities
Quartic integral Student t-density
2010/12/6
We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.
A Geometric Construction of Cyclic Cocycles on Twisted Convolution Algebras
Geometric Construction Cyclic Cocycles Twisted Convolution Algebras
2010/12/14
The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned disci...
Continuity of Pseudo-Differential Operator $h_{\mu,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces
Hankel transformation Hankel translation Hankel convolu-tion Pseudo-differential operator
2010/12/9
The Pseudo-Differential Operator (p.d.o.) hμ,a associated with the Bessel Operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequenc...
The Convolution Ring of Arithmetic Functions and Symmetric Polynomials
Arithmetic functions Multiplicative functions Additive functions
2010/12/3
Inspired by Rearick (1968), we introduce two new operators, LOG and EXP.The LOG operates on generalized Fibonacci polynomials giving generalized Lucas polynomials.The EXP is the inverse of LOG.
Subordination Theorem for a Family of Analytic Functions Associated With the Convolution Structure
Analytic function Hadamard product(or convolution) Dziok-Srivastava linear operator Subordination factor sequence Characterization properties
2010/1/22
We use the familiar convolution structure of analytic functions to introduce new class of analytic functions of complex order. The results investigated in the present paper include, the characterizati...
On the convolution order with reliability applications
Convolution order Laplace transform order
2010/9/13
In this paper, we study further the convolution order and investigate its reliability properties. We apply a simple useful property of this order to families of non-negative random variables that have...