Wavelets, Multiscale Systems and Hypercomplex Analysis

Daniel Alpay, Annemarie Luger (Editor)

Research output: Book/ReportBookpeer-review


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.
Original languageEnglish
Place of PublicationBasel Switzerland; Boston
PublisherBirkhäuser Verlag
Number of pages190
ISBN (Electronic)1280615737, 3764375876, 3764375884, 9783764375874, 9786610615735
ISBN (Print)9783764375881
StatePublished - 2006

Publication series

NameOperator Theory: Advances and Applications
PublisherBirkhäuser Verlag
ISSN (Electronic)2296-4878


  • Clifford analysis
  • Complex analysis
  • Hypercomplex analysis
  • Nonlinear dynamics
  • Operator theory
  • Random field
  • System theory
  • Teodorescu transform
  • Wavelets
  • analysis


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