Monogenic Functions in Spaces with Commutative Multiplication and Applications (eBook, PDF)

Monogenic Functions in Spaces with Commutative Multiplication and Applications (eBook, PDF)

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This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics.The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces wi...

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