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Harmonic Function Theory

by Sheldon Axler, Paul Bourdon, Wade Ramey · Springer

Graduate Texts in Mathematics volume developing harmonic functions on Euclidean space: mean value and maximum principles, Poisson integrals, Harnack's inequality, bounded harmonic functions, harmonic polynomials, and the Dirichlet problem. Readers gain a self-contained command of classical harmonic function theory using only real analysis.

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