Complex Analysis on Infinite Dimensional Spaces

Sean Dineen

544 pages, parution le 15/02/1999

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Résumé

This book considers basic questions connected with, and arising from, the locally convex space structures that may be placed on the space of holomorphic functions over a locally convex space.

The first three chapters introduce the basic properties of polynomials and holomorphic functions over locally convex spaces. These are followed by two chapters concentrating on relationships between the compact open topology, the ported or Nachbin topology and the topology generated by the countable open covers. The concluding chapter examines the interplay between the various concepts introduced earlier as being intrinsic to infinite dimensional holomorphy.

The comprehensive notes, historical background, exercises, appendix and bibliography make this book an invaluable reference whilst the presentation and synthesis of ideas from different areas will appeal to mathematicians from many different backgrounds.

Contents

Ch. 1: Polynomials
Ch. 2: Duality Theory for Polynomials
Ch. 3: Holomorphic Mappings between Locally Convex Spaces
Ch. 4: Decompositions of Holomorphic Functions
Ch. 5: Riemann Domains
Ch. 6: Holomorphic Extensions
App.: Remarks on Selected Exercises

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Sean Dineen
Parution	15/02/1999
Nb. de pages	544
Format	16 x 24
Couverture	Relié
Poids	990g
Intérieur	Noir et Blanc
EAN13	9781852331580
ISBN13	978-1-85233-158-0