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Subharmonic Functions and the Dirichlet Problem

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Complex Analysis in one Variable

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Abstract

In this chapter, we introduce, and study, subharmonic functions and use them to solve the Dirichlet problem for harmonic functions (on reasonable domains). We shall indicate some other applications of these functions at the end of the chapter.

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Authors and Affiliations

  1. Department of Mathematics, The University of Chicago, 5734 University Avenue, Chicago, IL, 60637, USA

    Professor Dr. Raghavan Narasimhan

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  1. Professor Dr. Raghavan Narasimhan
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© 1985 Springer Science+Business Media New York

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Narasimhan, R. (1985). Subharmonic Functions and the Dirichlet Problem. In: Complex Analysis in one Variable. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1106-6_11

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  • DOI: https://doi.org/10.1007/978-1-4757-1106-6_11

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3237-3

  • Online ISBN: 978-1-4757-1106-6

  • eBook Packages: Springer Book Archive

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