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Classical Potential Theory and Its Probabilistic Counterpart

Springer Berlin Heidelberg 2001

Monografía

monografia Rebiun02365315 https://catalogo.rebiun.org/rebiun/record/Rebiun02365315 cr|||||||||||| 121227s2001 gw | s |||| 0|eng d 9783642565731 978-3-642-56573-1 10.1007/978-3-642-56573-1 doi UPNA0129805 UPCT u336183 ES-MaCSI. spa. Springer Doob, Joseph L. author Classical Potential Theory and Its Probabilistic Counterpart Recurso electrónico] by Joseph L. Doob Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer 2001 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer L, 1551 p. online resource L, 1551 p. Classics in Mathematics 1431-0821 From the contents: Introduction -- Notation and Conventions -- Part I Classical and Parabolic Potential Theory: Introduction to the Mathematical Background of Classical Potential Theory; Basic Properties of Harmonic, Subharmonic, and Superharmonic Functions; Infirma of Families of Suerharmonic Functions; Potentials on Special Open sets; Polar sets and Their Applications; The Fundamental Convergence Theorem and the Reduction Operation; Green Functions; The Dirichlet Problem for Relative Harmonic Functions; Lattices and Related Classes of Functions; The Sweeping Operation, The Fine Topology; The Martin Boundary; Classical Energy and Capacity; One-Dimensional Potential Theory -- .... Part II Probabilistic Counterpart of Part I...... -- Part III Lattices in Classical Potential Theory and Martingale Theory; Brownian Motion and the PWB Method; Brownian Motion on the Martin Space -- Appendixes Reproducción electrónica Distribution (Probability theory) Mathematics Potential Theory Potential theory (Mathematics) Probability Theory and Stochastic Processes SpringerLink (Online service) Classics in Mathematics 1431-0821

Localizaciones: 9
Préstamo interbibliotecario

Formato:

Título:

Classical Potential Theory and Its Probabilistic Counterpart [ Recurso electrónico] / by Joseph L. Doob

Editorial:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001

Descripción física:

L, 1551 p. : online resource

Tipo Audiovisual:

Distribution (Probability theory)

Mathematics

Potential Theory

Potential theory (Mathematics)

Probability Theory and Stochastic Processes

Mención de serie:

Classics in Mathematics, 1431-0821

Contenido:

From the contents: Introduction -- Notation and Conventions -- Part I Classical and Parabolic Potential Theory: Introduction to the Mathematical Background of Classical Potential Theory; Basic Properties of Harmonic, Subharmonic, and Superharmonic Functions; Infirma of Families of Suerharmonic Functions; Potentials on Special Open sets; Polar sets and Their Applications; The Fundamental Convergence Theorem and the Reduction Operation; Green Functions; The Dirichlet Problem for Relative Harmonic Functions; Lattices and Related Classes of Functions; The Sweeping Operation, The Fine Topology; The Martin Boundary; Classical Energy and Capacity; One-Dimensional Potential Theory -- .... Part II Probabilistic Counterpart of Part I...... -- Part III Lattices in Classical Potential Theory and Martingale Theory; Brownian Motion and the PWB Method; Brownian Motion on the Martin Space -- Appendixes

ISBN:

9783642565731 978-3-642-56573-1

Entidades:

SpringerLink (Online service)

Punto acceso adicional serie-Título:

Classics in Mathematics, 1431-0821