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Foundations of modern potential theory 1972 book

Foundations of modern potential theory

Details Of The Book

Foundations of modern potential theory

edition: 1st 
serie: Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd. 180 
ISBN : 0387053948, 9783540053941 
publisher: Springer-Verlag 
publish year: 1972 
pages: 432 
language: English 
ebook format : DJVU (It will be converted to PDF, EPUB OR AZW3 if requested by the user) 
file size: 3 MB 

price : $11.05 13 With 15% OFF

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You can Download Foundations of modern potential theory Book After Make Payment, According to the customer's request, this book can be converted into PDF, EPUB, AZW3 and DJVU formats.

Abstract Of The Book

Table Of Contents

Content: 1. Spaces of measures and signed measures. Operations on measures and signed measures (No. 1-5).- 2. Space of distributions. Operations on distributions (No. 6-10)..- 3. The Fourier transform of distributions (No. 11-13).- I. Potentials and their basic properties.- 1. M. Riesz kernels (No. 1-3).- 2. Superharmonic functions (No. 4-5).- 3. Definition of potentials and their simplest properties (No. 6-9)...- 4. Energy. Potentials with finite energy (No. 10-15).- 5. Representation of superharmonic functions by potentials (No. 16-18).- 6. Superharmonic functions of fractional order (No. 19-25).- II. Capacity and equilibrium measure.- 1. Equilibrium measure and capacity of a compact set (No. 1-5).- 2. Inner and outer capacities and equilibrium measures. Capacitability (No. 6-10).- 3. Metric properties of capacity (No. 11-14).- 4. Logarithmic capacity (No. 15-18).- III. Sets of capacity zero. Sequences and bounds for potentials.- 1. Polar sets (No. 1-2).- 2. Continuity properties of potentials (No. 3-4).- 3. Sequences of potentials of measures (No. 5-8).- 4. Metric criteria for sets of capacity zero and bounds for potentials (No. 9-11).- IV. Balayage, Green functions, and the Dirichlet problem.- 1. Classical balayage out of a region (No. 1-6).- 2. Balayage for arbitrary compact sets (No. 7-11).- 3. The generalized Dirichlet problem (No. 12-14).- 4. The operator approach to the Dirichlet problem and the balayage problem (No. 15-18).- 5. Balayage for M. Riesz kernels (No. 19-23)...- 6. Balayage onto Borel sets (No. 24-25).- V. Irregular points.- 1. Irregular points of Borel sets. Criteria for irregularity (No. 1-6)...- 2. The characteristics and types of irregular points (No. 7-8)...- 3. The fine topology (No. 9-11).- 4. Properties of set of irregular points (No. 12-15).- 5. Stability of the Dirichlet problem. Approximation of continuous functions by harmonic functions (No. 16-22).- VI. Generalizations.- 1. Distributions with finite energy and their potentials (No. 1-5)...- 2. Kernels of more general type (No. 6-11).- 3. Dirichlet spaces (No. 12-15).- Comments and bibliographic references.

Comments Of The Book