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A Note on an Operator-Theoretic Approach to Classic Boundary Value Problems for Harmonic and Analytic Functions in Complex Plane Domains

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Abstract

A general spectral boundary value problems framework is utilized to restate Poincaré, Hilbert, and Riemann problems for harmonic and analytic functions in an abstract operator-theoretic setting.

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Authors and Affiliations

  1. Mathematics, Statistics and Physics Unit, University of British Columbia Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada

    Vladimir Ryzhov

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  1. Vladimir Ryzhov
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Correspondence to Vladimir Ryzhov.

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Ryzhov, V. A Note on an Operator-Theoretic Approach to Classic Boundary Value Problems for Harmonic and Analytic Functions in Complex Plane Domains. Integr. Equ. Oper. Theory 67, 327–339 (2010). https://doi.org/10.1007/s00020-010-1779-6

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  • DOI: https://doi.org/10.1007/s00020-010-1779-6

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