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Field name	Details
Dewey Class	515.9
Title	Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction ([EBook] /) / by Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le, Dang Duc Trong.
Author	Ang, Dang Dinh
Added Personal Name	Gorenflo, Rudolf author.
	Le, Vy Khoi author.
	Trong, Dang Duc author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002.
Physical Details	X, 186 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1792
ISBN	9783540456582
Summary Note	Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.:
Contents note	Introduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b84019
Links to Related Works	Subject References: Functions of a Complex Variable . Functions of complex variables . Integral Equations . Integral transforms . Integral Transforms, Operational Calculus . Mathematics . Operational calculus . Operator Theory . Partial differential equations . Potential Theory . Potential theory (Mathematics) . Authors: Ang, Dang Dinh . Gorenflo, Rudolf . Le, Vy Khoi . Trong, Dang Duc . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.9 .

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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

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