Carleman's Formulas in Complex Analysis: Theory and Applications

Carleman's Formulas in Complex Analysis: Theory and Applications

by L.A. Aizenberg

Paperback(Softcover reprint of the original 1st ed. 1993)

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Product Details

ISBN-13: 9789401046954
Publisher: Springer Netherlands
Publication date: 10/29/2012
Series: Mathematics and Its Applications , #244
Edition description: Softcover reprint of the original 1st ed. 1993
Pages: 299
Product dimensions: 6.30(w) x 9.45(h) x 0.03(d)

Table of Contents

Preface. Foreword to the English Translation. Preliminaries. Part I: Carleman Formulas in the Theory of Functions of One Complex Variable and their Generalization. I. One-Dimensional Carleman Formulas. II. Generalizations of One-Dimensional Carleman Formulas. Part II: Carleman Formulas in Multidimensional Complex Analysis. III. Integral Representations of Holomorphic Functions of Several Complex Variables and Logarithmic Residues. IV. Multidimensional Analog of Carleman Formulas with Integration over the Boundary Sets of Maximal Dimension. V. Multidimensional Carleman Formulas for Sets of Smaller Dimension. VI. Carleman Formulas in Homogeneous Domains. Part III: First Applications. VII. Applications in Complex Analysis. VIII. Applications in Physics and Signal Processing. IX. Computing Experiment. Part IV: Supplement to English Edition. X. Criteria for Analytic Continuation Harmonic Extension. XI. Carleman Formulas and Related Problems. Bibliography. Notes. Index of Proper Names. Subject Index. Index of Symbols.

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