Wavelets, Multiscale Systems and Hypercomplex Analysis (Operator Theory: Advances and Applications, 167)

Alpay, Daniel [Editor]

ISBN 10: 3764375876 / ISBN 13: 9783764375874

Editore: Birkhäuser, 2006

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Dati bibliografici

• Titolo: Wavelets, Multiscale Systems and Hypercomplex Analysis (Operator Theory: Advances and Applications, 167)
• Editore: Birkhäuser
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 3764375876
• ISBN 13: 9783764375874
• Rilegatura: Hardcover
• Condizione: New

Descrizione articolo

Riassunto

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. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.

Dalla quarta di copertina

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