On the approximation by convolution operators in homogeneous Banach spaces on R^d

Draganov, Borislav

Displaying similar documents to “On the approximation by convolution operators in homogeneous Banach spaces on R^d”

On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions

Draganov, Borislav R. (2011)

Mathematica Balkanica New Series

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AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85. The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach...

A convolution approximation property for $L^{1}$ (G)

Louis Pigno (1976)

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Convolution in Colombeau's spaces of generalized functions. II: The convolution in $𝒢_{a}$ .

Nedeljkov, M., Pilipović, S. (1992)

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Đurđica Takači, Arpad Takači (1996)

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Árpád Száz (1998)

Annales Polonici Mathematici

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By introducing the intersection convolution of relations, we prove a natural generalization of an extension theorem of B. Rodrí guez-Salinas and L. Bou on linear selections which is already a substantial generalization of the classical Hahn-Banach theorems. In particular, we give a simple neccesary and sufficient condition in terms of the intersection convolution of a homogeneous relation and its partial linear selections in order that every partial linear selection of this relation...

Convolution of L² - functions

Neil W. Rickert (1968)

Colloquium Mathematicae

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A characterization of Fourier transforms

Philippe Jaming (2010)

Colloquium Mathematicae

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The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.

On a generalization of the convolution

E. Gesztelyi (1970)

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A note on the convolution in the Mellin sense with generalized functions.

Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)

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On the Laguerre calculus of left-invariant convolution (pseudo-differential) operators on the Heisenberg group

Peter C. Greiner (1980-1981)

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Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral

Marko Nedeljkov, Stevan Pilipović (1992)

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On the convolution equations over the quarter-plane.

Stojanović, Mirjana (1996)

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Convolution in Colombeau's spaces of generalized functions. II: The convolution in $𝒢_{a}$ .

Nedeljkov, M., Pilipović, S. (1992)

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Convolutions related to q-deformed commutativity

Anna Kula (2010)

Banach Center Publications

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Two important examples of q-deformed commutativity relations are: aa* - qa*a = 1, studied in particular by M. Bożejko and R. Speicher, and ab = qba, studied by T. H. Koornwinder and S. Majid. The second case includes the q-normality of operators, defined by S. Ôta (aa* = qa*a). These two frameworks give rise to different convolutions. In particular, in the second scheme, G. Carnovale and T. H. Koornwinder studied their q-convolution. In the present paper we consider another convolution...

On a convolution type integral I

S. R. Yadava (1972)

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Convolution equations in the space of Laplace distributions

Maria E. Pliś (1998)

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A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.

Convolution in Colombeau's Spaces of Generalized Functions; Part II: the Convolution in Ga

Marko Nedeljkov, Stevan Pilipović (1992)

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A remark on hypoelliptic differential and convolution operators

Z. Zieleźny (1966)

Colloquium Mathematicae

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The operation of infimal convolution

Strömberg Thomas

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AbstractThis paper is a survey article on the theory and applications of infimal convolution. We consider the convex as well as the nonconvex case. In particular, we provide a detailed investigation of the regularizing effects of infimal convolution, and study continuity properties of the operation with respect to notions of variational convergence. Several examples are included and well-known results are complemented, unified or extended in various ways. CONTENTS1. Introduction...