Singular Integral Equations, Boundary Problems of Function Theory and Their Application to Mathematical Physics, by N.I. Muskhelishvili, 2nd Edition Moscow. User Review – Flag as inappropriate. Cauchy integral: MUS at [email protected] Contents. PART I. 6. Generalization to the case of several variables. N. I. Muskhelishvili. Singular integral equations. boundary problems in the theory of functions and their applications to mathematical physics. Fizmatgiz.
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This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Boundary Problems of Function Theory and Their Boundary problems of functions theory and their Common terms and phrases applied arbitrary constants arbitrary polynomial assumed boundary condition boundary problems boundary value bounded at infinity bounded function Cauchy integral class H class h singular integral equations muskhelishvili coefficients considered const continuous singular integral equations muskhelishvili corresponding defined degree at infinity degree not greater denoted determined different from zero easily seen equivalent fact finite number Fredholm equation Fredholm integral equation Fredholm operator function p t fundamental solution given class given function H condition half-plane harmonic function hence homogeneous equation homogeneous Hilbert problem homogeneous problem I.
Vekua infinite region last section singular integral equations muskhelishvili linearly independent solutions matrix method necessary and sufficient non-special ends number of linearly obtained obviously particular solution plane polynomial of degree proved real constant real function reduced Riemann-Hilbert problem right side singular integral equations muskhelishvili the H sectionally holomorphic function singular equations singular integral equations tangent theorem tion unknown function vanishing at infinity vector.
Courier CorporationFeb 19, – Mathematics – pages.
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