Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Softcover

Buch 5 von 39: Chapman & Hall/CRC Research Notes in Mathematics

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

 
9781584882466: Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series)
Softcover
ISBN 10: 1584882468 ISBN 13: 9781584882466
Verlag: Chapman and Hall/CRC, 2001

Inhaltsangabe

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.

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Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
1584882468
ISBN 13 
9781584882466
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
216
Herausgeber
Jeffrey Alan, Brezis Haim, Douglas Ronald G.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar