The Resource Hypercomplex Analysis: New Perspectives and Applications, edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, (electronic resource)

Hypercomplex Analysis: New Perspectives and Applications, edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, (electronic resource)

Label
Hypercomplex Analysis: New Perspectives and Applications
Title
Hypercomplex Analysis: New Perspectives and Applications
Statement of responsibility
edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
Creator
Contributor
Editor
Provider
Subject
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
http://library.link/vocab/creatorName
Bernstein, Swanhild
Image bit depth
0
LC call number
QA331-355
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Kähler, Uwe.
  • Sabadini, Irene.
  • Sommen, Frank.
  • SpringerLink
Series statement
Trends in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Topological Groups
  • Functions of complex variables
  • Differential equations, partial
  • Computer science
  • Mathematics
  • Functions of a Complex Variable
  • Topological Groups, Lie Groups
  • Several Complex Variables and Analytic Spaces
  • Computational Science and Engineering
Label
Hypercomplex Analysis: New Perspectives and Applications, edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
VII, 227 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319087719
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-08771-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-08771-9
Label
Hypercomplex Analysis: New Perspectives and Applications, edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
VII, 227 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319087719
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-08771-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-08771-9

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