Hypercomplex analysis: new perspectives and applications
Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to t...
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| Weitere Verfasser: | , , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Birkhäuser
[2014]
|
| Schriftenreihe: | Trends in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics. .. |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | vi, 227 Seiten 24 cm |
| ISBN: | 9783319087702 |
Internformat
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| 520 | |a Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics. .. | ||
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| 650 | 4 | |a Mathematical analysis / fast / (OCoLC)fst01012068 | |
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Mathematical analysis | |
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Datensatz im Suchindex
| _version_ | 1804177695130517504 |
|---|---|
| adam_text | HYPERCOMPLEX ANALYSIS
/
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
SYMMETRIES AND ASSOCIATED PAIRS IN QUATERNIONIC ANALYSIS
GENERALIZED QUATERNIONIC SCHUR FUNCTIONS IN THE BALL AND HALF-SPACE AND
KREIN-LANGER FACTORIZATION
THE FOCK SPACE IN THE SLICE HYPERHOLOMORPHIC SETTING
MULTI MQ-MONOGENIC FUNCTION IN DIFFERENT DIMENSION
THE FRACTIONAL MONOGENIC SIGNAL
WEIGHTED BERGMAN SPACES
ON APPELL SETS AND VERMA MODULES FOR SL(2)
INTEGRAL FORMULAS FOR K-HYPERMONOGENIC FUNCTIONS IN R3
SPECTRAL PROPERTIES OF COMPACT NORMAL QUATERNIONIC OPERATORS
THREE-DIMENSIONAL QUATERNIONIC ANALOGUE OF THE KOLOSOV?MUSKHELISHVILI
FORMULAE
ON THE CONTINUOUS COUPLING OF FINITE ELEMENTS WITH HOLOMORPHIC BASIS
FUNCTIONS
ON PSI-HYPERHOLOMORPHIC FUNCTIONS AND A DECOMPOSITION OF HARMONICS
FRACTIONAL CLIFFORD ANALYSIS
SPECTRAL PROPERTIES OF DIFFERENTIAL EQUATIONS IN CLIFFORD ALGEBRAS
DIFFERENTIAL EQUATIONS IN MULTICOMPLEX SPACES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| id | DE-604.BV044408091 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:52:10Z |
| institution | BVB |
| isbn | 9783319087702 |
| language | English |
| lccn | 014952606 |
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| physical | vi, 227 Seiten 24 cm |
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| spelling | Hypercomplex analysis new perspectives and applications Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors Cham Birkhäuser [2014] © 2014 vi, 227 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Trends in mathematics Includes bibliographical references Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics. .. Functions of complex variables / fast / (OCoLC)fst00936116 Mathematical analysis / fast / (OCoLC)fst01012068 Functions of complex variables Mathematical analysis Bernstein, Swanhild 1964- (DE-588)123525314 edt Kähler, Uwe 1971- (DE-588)120818000 edt Sabadini, Irene 1965- (DE-588)130606936 edt Sommen, Frank (DE-588)1042368171 edt Erscheint auch als Online-Ausgabe 978-3-319-08771-9 LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029809981&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hypercomplex analysis new perspectives and applications Functions of complex variables / fast / (OCoLC)fst00936116 Mathematical analysis / fast / (OCoLC)fst01012068 Functions of complex variables Mathematical analysis |
| title | Hypercomplex analysis new perspectives and applications |
| title_auth | Hypercomplex analysis new perspectives and applications |
| title_exact_search | Hypercomplex analysis new perspectives and applications |
| title_full | Hypercomplex analysis new perspectives and applications Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors |
| title_fullStr | Hypercomplex analysis new perspectives and applications Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors |
| title_full_unstemmed | Hypercomplex analysis new perspectives and applications Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors |
| title_short | Hypercomplex analysis |
| title_sort | hypercomplex analysis new perspectives and applications |
| title_sub | new perspectives and applications |
| topic | Functions of complex variables / fast / (OCoLC)fst00936116 Mathematical analysis / fast / (OCoLC)fst01012068 Functions of complex variables Mathematical analysis |
| topic_facet | Functions of complex variables / fast / (OCoLC)fst00936116 Mathematical analysis / fast / (OCoLC)fst01012068 Functions of complex variables Mathematical analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029809981&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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