Multidimensional integral representations problems of analytic continuation

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Hauptverfasser: Kytmanov, Aleksandr M. 1949- (VerfasserIn), Myslivets, Simona G. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cham Springer [2015]
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Datensatz im Suchindex

DE-BY-TUM_katkey 2159668
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adam_text MULTIDIMENSIONAL INTEGRAL REPRESENTATIONS / KYTMANOV, ALEXANDER M. : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE. 1 MULTIDIMENSIONAL INTEGRAL REPRESENTATIONS 2PROPERTIES OF THE BOCHNER-MARTINELLI INTEGRAL ANDTHE LOGARITHMIC RESIDUE FORMULA 3ON THE MULTIDIMENSIONAL BOUNDARY ANALOGUEOF THE MORERA THEOREM 4FUNCTIONS WITH THE ONE-DIMENSIONAL HOLOMORPHIC EXTENSION PROPERTY REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MULTIDIMENSIONAL INTEGRAL REPRESENTATIONS / KYTMANOV, ALEXANDER M. : 2015 ABSTRACT / INHALTSTEXT THE MONOGRAPH IS DEVOTED TO INTEGRAL REPRESENTATIONS FOR HOLOMORPHIC FUNCTIONS IN SEVERAL COMPLEX VARIABLES, SUCH AS BOCHNER-MARTINELLI, CAUCHY-FANTAPPIE, KOPPELMAN, MULTIDIMENSIONAL LOGARITHMIC RESIDUE ETC., AND THEIR BOUNDARY PROPERTIES. THE APPLICATIONS CONSIDERED ARE PROBLEMS OF ANALYTIC CONTINUATION OF FUNCTIONS FROM THE BOUNDARY OF A BOUNDED DOMAIN IN C^N. IN CONTRAST TO THE WELL-KNOWN HARTOGS-BOCHNER THEOREM, THIS BOOK INVESTIGATES FUNCTIONS WITH THE ONE-DIMENSIONAL PROPERTY OF HOLOMORPHIC EXTENSION ALONG COMPLEX LINES, AND INCLUDES THE PROBLEMS OF RECEIVING MULTIDIMENSIONAL BOUNDARY ANALOGS OF THE MORERA THEOREM. THIS BOOK IS A VALUABLE RESOURCE FOR SPECIALISTS IN COMPLEX ANALYSIS, THEORETICAL PHYSICS, AS WELL AS GRADUATE AND POSTGRADUATE STUDENTS WITH AN UNDERSTANDING OF STANDARD UNIVERSITY COURSES IN COMPLEX, REAL AND FUNCTIONAL ANALYSIS, AS WELL AS ALGEBRA AND GEOMETRY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author Kytmanov, Aleksandr M. 1949-
Myslivets, Simona G.
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spellingShingle Kytmanov, Aleksandr M. 1949-
Myslivets, Simona G.
Multidimensional integral representations problems of analytic continuation
Mathematics
Functions of complex variables
Several Complex Variables and Analytic Spaces
Mathematik
title Multidimensional integral representations problems of analytic continuation
title_auth Multidimensional integral representations problems of analytic continuation
title_exact_search Multidimensional integral representations problems of analytic continuation
title_full Multidimensional integral representations problems of analytic continuation Alexander M. Kytmanov, Simona G. Myslivets
title_fullStr Multidimensional integral representations problems of analytic continuation Alexander M. Kytmanov, Simona G. Myslivets
title_full_unstemmed Multidimensional integral representations problems of analytic continuation Alexander M. Kytmanov, Simona G. Myslivets
title_short Multidimensional integral representations
title_sort multidimensional integral representations problems of analytic continuation
title_sub problems of analytic continuation
topic Mathematics
Functions of complex variables
Several Complex Variables and Analytic Spaces
Mathematik
topic_facet Mathematics
Functions of complex variables
Several Complex Variables and Analytic Spaces
Mathematik
url https://doi.org/10.1007/978-3-319-21659-1
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