Several Complex Variables II: Function Theory in Classical Domains Complex Potential Theory

Overview

This volume of the Encyclopaedia contains four parts each of which being an informative survey of a topic in the field of several complex variables. Thefirst deals with residue theory and its applications to integrals depending on parameters, combinatorial sums and systems of algebraic equations. The second part contains recent results in complex potential theory and the third part treats function theory in the unit ball covering research of the last twenty years. The latter part includes an up-to-date account of...

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Paperback (Softcover reprint of the original 1st ed. 1994)
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Overview

This volume of the Encyclopaedia contains four parts each of which being an informative survey of a topic in the field of several complex variables. Thefirst deals with residue theory and its applications to integrals depending on parameters, combinatorial sums and systems of algebraic equations. The second part contains recent results in complex potential theory and the third part treats function theory in the unit ball covering research of the last twenty years. The latter part includes an up-to-date account of research related to a list of problems, which was published by Rudin in 1980.
The last part of the book treats complex analysis in the futuretube. The future tube is an important concept in mathematical physics, especially in axiomatic quantum field theory, and it is related to Penrose'swork on "the complex geometry of the real world".
Researchers and graduate students in complex analysis and mathematical physics will use thisbook as a reference and as a guide to exciting areas of research.

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Product Details

  • ISBN-13: 9783642633911
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/30/2013
  • Series: Encyclopaedia of Mathematical Sciences Series , #8
  • Edition description: Softcover reprint of the original 1st ed. 1994
  • Edition number: 1
  • Pages: 262
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.57 (d)

Table of Contents

I. Multidimensional Residues and Applications.- II. Plurisubharmonic Functions.- III. Function Theory in the Ball.- IV. Complex Analysis in the Future Tube.- Author Index.

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