The Resource Hypercomplex analysis : new perspectives and applications, Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors

Hypercomplex analysis : new perspectives and applications, Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors

Label
Hypercomplex analysis : new perspectives and applications
Title
Hypercomplex analysis
Title remainder
new perspectives and applications
Statement of responsibility
Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors
Contributor
Editor
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
Dewey number
515/.9
Index
no index present
LC call number
QA331.7
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Bernstein, Swanhild
Series statement
Trends in Mathematics,
http://library.link/vocab/subjectName
  • Functions of complex variables
  • Mathematical analysis
  • MATHEMATICS
  • MATHEMATICS
  • Functions of complex variables
  • Mathematical analysis
Label
Hypercomplex analysis : new perspectives and applications, Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-08771-9
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (vii, 227 pages).
File format
unknown
Form of item
online
Isbn
9783319087702
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-08771-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)893858286
  • (OCoLC)ocn893858286
Label
Hypercomplex analysis : new perspectives and applications, Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-08771-9
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (vii, 227 pages).
File format
unknown
Form of item
online
Isbn
9783319087702
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-08771-9
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)893858286
  • (OCoLC)ocn893858286

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