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Logarithmic Potentials with External Fields

This is the second edition of an influential monograph on logarithmic potentials with external fields, incorporating some of the numerous advancements made since the initial publication. As the title implies, the book expands the classical theory of logarithmic potentials to encompass scenarios invo...

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Autors principals: Saff, Edward B. (Autor), Totik, Vilmos (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer International Publishing : Imprint: Springer, 2024.
Edició:2nd ed. 2024.
Col·lecció:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 316
Matèries:
Potential theory (Mathematics).
Approximation theory.
Fourier analysis.
Functions of complex variables.
Numerical analysis.
Potential Theory.
Approximations and Expansions.
Fourier Analysis.
Functions of a Complex Variable.
Numerical Analysis.
Accés en línia:https://doi.org/10.1007/978-3-031-65133-5
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Taula de continguts:
  • Part 1 Fundamentals. I Weighted Potentials
  • II Recovery of Measures, Green Functions and Balayage
  • III Weighted Polynomials
  • IV Determination of the Extremal Measure
  • Part 2 Applications and Generalizations
  • V Extremal Point Methods
  • VI Weights on the Real Line
  • VII Applications Concerning Orthogonal Polynomials
  • VIII Signed Measures
  • IX Some Problems from Physics
  • X Generalizations
  • Part 3 Appendices
  • A.I Basic Tools
  • A.II The Dirichlet Problem and Harmonic Measures
  • A.III Weighted approximation in ℂᴺ
  • A.IV Classical Logarithmic Potential Theory.

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