| Description |
1 online resource (xi, 190 pages) |
| Series |
Operator theory, advances and applications ; v. 167 |
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Operator theory, advances and applications ; v. 167.
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| Contents |
Teodorescu transform decomposition of multivector fields on fractal hypersurfaces / R. Abreu-Blaya, J. Bory-Reyes and T. Moreno-Garcia -- Metric dependent Clifford analysis with applications to wavelet analysis / F. Brackx, N. De Schepper and F. Sommen -- A hierarchical semi-separable Moore-Penrose equation solver / P. Dewilde and Sh. Chandrasekaran -- Methods from multiscale theory and wavelets applied to nonlinear dynamics / D.E. Dutkay and P.E.T. Jorgensen -- Noncommutative trigonometry / K. Gustafson -- Stationary random fields over graphs and related structures / H. Heyer -- Matrix representations and numerical computations of wavelet multipliers / M.W. Wong and H. Zhu |
| Summary |
From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree. It is also fascinating to realize that a whole function theory, different from the classical theory of several complex variables, can be developped when one considers hypercomplex (Clifford) variables, Fueter polynomials and the Cauchy-Kovalevskaya product, in place of the classical polynomials in three independent variables. This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Contributors: R. Abreu-Blaya, J. Bory-Reyes, F. Brackx, Sh. Chandrasekaran, N. de Schepper, P. Dewilde, D.E. Dutkay, K. Gustafson, H. Heyer, P.E.T. Jorgensen, T. Moreno-García, L. Peng, F. Sommen, M.W. Wong, J. Zhao, H. Zhu |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| In |
Springer eBooks |
| Subject |
Clifford algebras.
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Wavelets (Mathematics)
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Harmonic analysis.
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Algebra.
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algebra.
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MATHEMATICS -- Algebra -- Intermediate.
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Wavelets (Mathematics)
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Harmonic analysis.
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Clifford algebras.
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Álgebras de Clifford
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Análisis armónico
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Movimiento ondulatorio
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Clifford algebras
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Harmonic analysis
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Wavelets (Mathematics)
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| Form |
Electronic book
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| Author |
Alpay, Daniel
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| ISBN |
9783764375881 |
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3764375884 |
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