Harmonic Functions

Norbert Steinmetz ()
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Norbert Steinmetz: TU Dortmund, Department of Mathematics

Chapter 9 in Lectures on Complex Analysis, 2026, pp 215-244 from Springer

Abstract: Abstract In this chapter, the basic theory of harmonic functions developed in Chap. 2 is substantially extended and deepened. In particular, the Dirichlet problem is solved in a sufficiently general form, relying essentially on its solution in discs via the Poisson integral. Special sections are devoted to Green’s function and harmonic measure, with applications to conformal mapping.

Date: 2026
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DOI: 10.1007/978-3-032-13996-2_9

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