Verfügbarkeit: Regular functions of a quaternionic variable

Regular functions of a quaternionic variable:

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Bibliographische Detailangaben
Beteiligte Personen:	Gentili, Graziano (VerfasserIn), Stoppato, Caterina 1982- (VerfasserIn), Struppa, Daniele Carlo 1955- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	London [u.a.] Springer 2013
Schriftenreihe:	Springer monographs in mathematics
Schlagwörter:	Quaternion
Links:	https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 https://doi.org/10.1007/978-3-642-33871-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785780&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785780&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource
ISBN:	9783642338700 9783642338717
DOI:	10.1007/978-3-642-33871-7

Internformat

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Datensatz im Suchindex

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adam_text	REGULAR FUNCTIONS OF A QUATERNIONIC VARIABLE / GENTILI, GRAZIANO : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION 1.DEFINITIONS AND BASIC RESULTS 2.REGULAR POWER SERIES 3.ZEROS 4.INFINITE PRODUCTS 5.SINGULARITIES 6.INTEGRAL REPRESENTATIONS 7.MAXIMUM MODULUS THEOREM AND APPLICATIONS 8.SPHERICAL SERIES AND DIFFERENTIAL 9.FRACTIONAL TRANSFORMATIONS AND THE UNIT BALL 10.GENERALIZATIONS AND APPLICATIONS BIBLIOGRAPHY INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. REGULAR FUNCTIONS OF A QUATERNIONIC VARIABLE / GENTILI, GRAZIANO : 2013 ABSTRACT / INHALTSTEXT THE THEORY OF SLICE REGULAR FUNCTIONS OVER QUATERNIONS IS THE CENTRAL SUBJECT OF THE PRESENT VOLUME. THIS RECENT THEORY HAS EXPANDED RAPIDLY, PRODUCING A VARIETY OF NEW RESULTS THAT HAVE CAUGHT THE ATTENTION OF THE INTERNATIONAL RESEARCH COMMUNITY. AT THE SAME TIME, THE THEORY HAS ALREADY DEVELOPED STURDY FOUNDATIONS. THE RICHNESS OF THE THEORY OF THE HOLOMORPHIC FUNCTIONS OF ONE COMPLEX VARIABLE AND ITS WIDE VARIETY OF APPLICATIONS ARE A STRONG MOTIVATION FOR THE STUDY OF ITS ANALOGS IN HIGHER DIMENSIONS. IN THIS RESPECT, THE FOUR-DIMENSIONAL CASE IS PARTICULARLY INTERESTING DUE TO ITS RELEVANCE IN PHYSICS AND ITS ALGEBRAIC PROPERTIES, AS THE QUATERNION FORMS THE ONLY ASSOCIATIVE REAL DIVISION ALGEBRA WITH A FINITE DIMENSION N 2. AMONG OTHER INTERESTING FUNCTION THEORIES INTRODUCED IN THE QUATERNIONIC SETTING, THAT OF (SLICE) REGULAR FUNCTIONS SHOWS PARTICULARLY APPEALING FEATURES. FOR INSTANCE, THIS CLASS OF FUNCTIONS NATURALLY INCLUDES POLYNOMIALS AND POWER SERIES. THE ZERO SET OF A SLICE REGULAR FUNCTION HAS AN INTERESTING STRUCTURE, STRICTLY LINKED TO A MULTIPLICATIVE OPERATION, AND IT ALLOWS THE STUDY OF SINGULARITIES. INTEGRAL REPRESENTATION FORMULAS ENRICH THE THEORY AND THEY ARE A FUNDAMENTAL TOOL FOR ONE OF THE APPLICATIONS, THE CONSTRUCTION OF A NONCOMMUTATIVE FUNCTIONAL CALCULUS. THE VOLUME PRESENTS A STATE-OF-THE-ART SURVEY OF THE THEORY AND A BRIEF OVERVIEW OF ITS GENERALIZATIONS AND APPLICATIONS. IT IS INTENDED FOR GRADUATE STUDENTS AND RESEARCHERS IN COMPLEX OR HYPERCOMPLEX ANALYSIS AND GEOMETRY, FUNCTION THEORY, AND FUNCTIONAL ANALYSIS IN GENERAL DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Gentili, Graziano Stoppato, Caterina 1982- Struppa, Daniele Carlo 1955-
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indexdate	2024-12-20T16:26:06Z
institution	BVB
isbn	9783642338700 9783642338717
language	English
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publisher	Springer
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spellingShingle	Gentili, Graziano Stoppato, Caterina 1982- Struppa, Daniele Carlo 1955- Regular functions of a quaternionic variable Quaternion (DE-588)10339768-1 gnd
subject_GND	(DE-588)10339768-1
title	Regular functions of a quaternionic variable
title_auth	Regular functions of a quaternionic variable
title_exact_search	Regular functions of a quaternionic variable
title_full	Regular functions of a quaternionic variable Graziano Gentili ; Caterina Stoppato ; Daniele C. Struppa
title_fullStr	Regular functions of a quaternionic variable Graziano Gentili ; Caterina Stoppato ; Daniele C. Struppa
title_full_unstemmed	Regular functions of a quaternionic variable Graziano Gentili ; Caterina Stoppato ; Daniele C. Struppa
title_short	Regular functions of a quaternionic variable
title_sort	regular functions of a quaternionic variable
topic	Quaternion (DE-588)10339768-1 gnd
topic_facet	Quaternion
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work_keys_str_mv	AT gentiligraziano regularfunctionsofaquaternionicvariable AT stoppatocaterina regularfunctionsofaquaternionicvariable AT struppadanielecarlo regularfunctionsofaquaternionicvariable

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