On a new notion of holomorphy and its applications

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Abstract

This paper devotes a new general notion of holomorphy which works in the continous and discrete cases. With the help of methods of a general operator theory the so called L-holomorphy is introduced. Realizations of this calculus follow. New versions of Taylor- and Taylor–Gontcharov formulae are deduced. The results are applied for the solution of higher order systems of differential equations.

Keywords

Generalized holomorphic functions , Taylor-Gontcharov formulae , Plemelj projections , higher order boundary value problems
  • Wolfgang Sproessig Freiberg University of Mining and Technology, Faculty of Mathematics and Informatics, Agricola-Strasse 1, 09596 Freiberg, Germany.
  • Le Thu Hoai Hanoi University of Technology, Faculty for Applied Mathematics and Informatics, Dai Co Viet Street 1, 10000 Hanoi, Vietnam.
  • Pages: 145–162
  • Date Published: 2009-03-01
  • Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal

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Published

2009-03-01

How to Cite

[1]
W. Sproessig and L. Thu Hoai, “On a new notion of holomorphy and its applications”, CUBO, vol. 11, no. 1, pp. 145–162, Mar. 2009.

Issue

Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal

Section

Articles