Your Waterstones card is changing, introducing...
TELL ME MORE
Several Complex Variables II: Function Theory in Classical Domains Complex Potential Theory - Encyclopaedia of Mathematical Sciences 8 (Paperback)
  • Several Complex Variables II: Function Theory in Classical Domains Complex Potential Theory - Encyclopaedia of Mathematical Sciences 8 (Paperback)
zoom

Several Complex Variables II: Function Theory in Classical Domains Complex Potential Theory - Encyclopaedia of Mathematical Sciences 8 (Paperback)

(editor), (editor), (translator), (translator), (author of contributions), (author of contributions), (author of contributions), (author of contributions), (author of contributions), (author of contributions)
£54.99
Paperback 262 Pages / Published: 14/10/2012
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others. Subharmonic functions and the foundations ofthe associated classical poten- tial theory are sufficiently well exposed in the literature, and so we introduce here only a few fundamental results which we require. More detailed expositions can be found in the monographs of Privalov (1937), Brelot (1961), and Landkof (1966). See also Brelot (1972), where a history of the development of the theory of subharmonic functions is given.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783642633911
Number of pages: 262
Weight: 421 g
Dimensions: 235 x 155 x 14 mm
Edition: Softcover reprint of the original 1st ed. 199

You may also be interested in...

Ruler and Compass
Added to basket
£5.99
Paperback
Algebraic Topology
Added to basket
£30.99
Paperback
Euclid's Elements
Added to basket
£21.99
Paperback
Mathematics and Its History
Added to basket
Geometry
Added to basket
£44.99
Paperback
Euclid's Window
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Introducing Fractals
Added to basket
Islamic Design
Added to basket
£5.99
Paperback
Symmetry: A Very Short Introduction
Added to basket
Drawing Geometry
Added to basket
£12.99
Paperback
Maths for Science
Added to basket
£35.99
Paperback

Reviews

Please sign in to write a review

Your review has been submitted successfully.