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Plemelj Formulae and Transformations Associated to Plane Wave Decompositions in Complex Clifford Analysis
Author(s) -
Ryan John
Publication year - 1992
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-64.1.70
Subject(s) - invertible matrix , mathematics , cauchy distribution , pure mathematics , singular value decomposition , plane (geometry) , clifford analysis , complex plane , mathematical analysis , decomposition , cauchy's integral formula , cauchy problem , initial value problem , geometry , algorithm , ecology , biology , dirac operator
Singular Cauchy transforms, over special types of totally real manifolds lying in C n , are introduced. It is shown that these transforms are invertible. Other transforms are introduced using plane wave decomposition techniques. It is shown that these transforms are dominated by the Cauchy transform, so they are also invertible.