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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...
| その他の著者: | , , , |
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| フォーマット: | Printed Book |
| 言語: | English |
| 出版事項: |
New York:
Birkhauser ,
2014.
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| シリーズ: | Trends in mathematics.
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| 主題: |
目次:
- 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.