Hypercomplex Analysis: New Perspectives and Applications

Inbunden, Engelska, 2014

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2014-10-27
Mått:155 x 235 x 19 mm
Vikt:524 g
Format:Inbunden
Språk:Engelska
Serie:Trends in Mathematics
Antal sidor:227
Upplaga:2014
Förlag:Birkhauser Verlag AG
ISBN:9783319087702

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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.