Titlebook: Linear Integral Equations; Rainer Kress Book 19992nd edition Springer-Verlag New York, Inc. 1999 Boundary value problem.Integral Equations

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Rainer Kressür Wissenschaft, Praxis und Kriminalpolitik zu geben, war Ziel eines Symposions, an dem sich 26 Expertinnen und Experten aus den beteiligten Fachdisziplinen mit Referaten, Statements und Schlus978-3-540-26635-8978-3-540-28447-5Series ISSN 1617-1497 Series E-ISSN 2197-859X

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Rainer Kressür Wissenschaft, Praxis und Kriminalpolitik zu geben, war Ziel eines Symposions, an dem sich 26 Expertinnen und Experten aus den beteiligten Fachdisziplinen mit Referaten, Statements und Schlus978-3-540-26635-8978-3-540-28447-5Series ISSN 1617-1497 Series E-ISSN 2197-859X

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Normed Spaces,lled kernel . and the right-hand side . are given functions. The above equations are called .of the .and .,respectively. We will regard them as . of the .and .in appropriate normed function spaces. The symbol .→.will mean a single-valued mapping whose domain of definition is a set .and whose range i

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Dual Systems and Fredholm Alternative, inhomogeneous equation for a given inhomogeneity is solvable. This question is settled by the Fredholm alternative, which we shall develop in this chapter. Rather than presenting it in the context of the Riesz-Schauder theory for the adjoint operator in the dual space we will consider the Fredholm

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Regularization in Dual Systems,trate that it is still possible to obtain results on the solvability of singular equations provided that they can be regularized, i.e., they can be transformed into equations of the second kind with a compact operator.

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Potential Theory, About a century ago the systematic development of the theory of integral equations was initiated by the treatment of boundary value problems and there has been an ongoing fruitful interaction between these two areas of applied mathematics. It is the aim of this chapter to introduce the main ideas o

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Liberate

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The Heat Equation,he partial differential.equation where .= ..This is called the .or, shortly, the .;it was first derived by Fourier. Simultaneously, the heat equation also occurs in the description of diffusion processes. The heat equation is the standard example for a .differential equation. In this chapter we want