2013•Journal of Southwest China Normal UniversityRequires access

On Inverse Riemann Boundary Value Problems of Function Vector

Wang Ming-hu

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Abstract

In this paper,the general mathematical formulation of inverse Riemann boundary value problems of holomorphic function vector has been given,and the solvability of the homogeneous and nonhomogeneous problem for the normal case has been discussed.On the basis of the theory of Riemann boundary value problems of holomorphic function vector,the solvable conditions and the representation of the solutions have been obtained.

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In this paper,the general mathematical formulation of inverse Riemann boundary value problems of holomorphic function vector has been given,and the solvability of the homogeneous and nonhomogeneous problem for the normal case has been discussed.On the basis of the theory of Riemann boundary value problems of holomorphic function vector,the solvable conditions and the representation of the solutions have been obtained.

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Available abstract

In this paper,the general mathematical formulation of inverse Riemann boundary value problems of holomorphic function vector has been given,and the solvability of the homogeneous and nonhomogeneous problem for the normal case has been discussed.On the basis of the theory of Riemann boundary value problems of holomorphic function vector,the solvable conditions and the representation of the solutions have been obtained.

Key concepts: Holomorphic function, Mathematics, Mathematical analysis, Boundary value problem, Geometric function theory, Riemann problem, Inverse, Riemann hypothesis

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