Integral Theorems for Functions and Differential Forms in C(m) - Couverture souple

Livre 5 sur 39: Chapman & Hall/CRC Research Notes in Mathematics

Sommen, Frank; Rocha-Chavez, Reynaldo; Shapiro, Michael

 
9781584882466: Integral Theorems for Functions and Differential Forms in C(m)
Couverture souple
ISBN 10 : 1584882468 ISBN 13 : 9781584882466
Editeur : Chapman and Hall/CRC, 2001

Synopsis

The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more and more paradoxical differences between the structures of the two theories. The authors of this Research Note were driven by the quest to construct a theory in several complex variables that has the same structure as the one-variable theory. That is, they sought a reproducing kernel for the whole class that is universal and from same class. Integral Theorems for Functions and Differential Forms in Cm documents their success. Their highly original approach allowed them to obtain new results and refine some well-known results from the classical theory of several complex variables. The 'hyperholomorphic" theory they developed proved to be a kind of direct sum of function theories for two Dirac-type operators of Clifford analysis considered in the same domain. In addition to new results and methods, this work presents a first-look at a brand new setting, based upon the natural language of differential forms, for complex analysis. Integral Theorems for Functions and Differential Forms in Cm reveals a deep link between the fields of several complex variables theory and Clifford analysis. It will have a strong influence on researchers in both areas, and undoubtedly will change the general viewpoint on the methods and ideas of several complex variables theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman and Hall/CRC
Date d'édition
2001
Langue
anglais
ISBN 10 
1584882468
ISBN 13 
9781584882466
Reliure
Broché
Nombre de pages
216
Éditeur
Brezis Haim, Douglas Ronald G., Jeffrey Alan
Coordonnées du fabricant
non disponible
Personne responsable
non disponible