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Nonlinear Integral Operators and Applications on Hardback by Carlo Bardaro
Nonlinear Integral Operators and Applications on Hardback by Carlo Bardaro
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Nonlinear Integral Operators and Applications

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Description

In 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This volume presents a comprehensive treatment of approximation theory by means of nonlinear integral operator in function spaces. In particular, the fundamental notions of approximate identity for kernels of nonlinear operators and a general concept of modulus of continuity are developed in order to obtain consistent approximation results. Applications to nonlinear summability, nonlinear integral equations and nonlinear sampling theory are given. In particular, the study of nonlinear sampling operators is important since the results permit the reconstruction of several classes of signals.

Author Biography:

Carlo Bardaro and Gianlica Vinti are Professors at the Mathematics Departments of the University of Perugia, Italy. Julian Musielak is Professor at the Faculty of Mathematics and Computer Science of the University of Poznan, Poland.
Release date NZ
June 19th, 2003
Audiences
  • Professional & Vocational
  • Professional & Vocational
Pages
213
Dimensions
170x240x17
ISBN-13
9783110175516
Product ID
5810464

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