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Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen
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Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen:

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

ISBN: 1584882468

[SR: 6107698], Paperback, [EAN: 9781584882466], Chapman and Hall/CRC, Chapman and Hall/CRC, Book, [PU: Chapman and Hall/CRC], Chapman and Hall/CRC, 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., 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13887, Algebra, 13889, Abstract, 13893, Elementary, 13897, Intermediate, 13899, Linear, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13920, Functional Analysis, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 491542, Algebra & Trigonometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen
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Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen:

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

ISBN: 1584882468

[SR: 6107698], Paperback, [EAN: 9781584882466], Chapman and Hall/CRC, Chapman and Hall/CRC, Book, [PU: Chapman and Hall/CRC], Chapman and Hall/CRC, 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., 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13887, Algebra, 13889, Abstract, 13893, Elementary, 13897, Intermediate, 13899, Linear, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13920, Functional Analysis, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 491542, Algebra & Trigonometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen
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Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen:
Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Taschenbuch

2001

ISBN: 1584882468

[SR: 8400693], Paperback, [EAN: 9781584882466], Chapman and Hall/CRC, Chapman and Hall/CRC, Book, [PU: Chapman and Hall/CRC], 2001-08-03, Chapman and Hall/CRC, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278339, Complex Analysis, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278342, Functional Analysis, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278419, Mathematical, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen
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Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen:
Integral Theorems for Functions and Differential Forms in C(m) (Chapman & Hall/CRC Research Notes in Mathematics Series) - Taschenbuch

ISBN: 1584882468

[SR: 8340497], Paperback, [EAN: 9781584882466], Chapman and Hall/CRC, Chapman and Hall/CRC, Book, [PU: Chapman and Hall/CRC], Chapman and Hall/CRC, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278339, Complex Analysis, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278342, Functional Analysis, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278419, Mathematical, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Integral Theorems for Functions and Differential Forms in C(m) - Shapiro, Michael; Rocha-Chavez, Reynaldo; Sommen, Frank
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Integral Theorems for Functions and Differential Forms in C(m) - neues Buch

ISBN: 9781584882466

ID: 263687

Introduction Differential Forms Differential Forms with Coefficients in 2 x 2 Matrices Hyperholomorphic Functions and Differential Forms in Cm Hyperholomorphic Cauchy's Integral Theorems Hyperholomorphic Morera's Theorems Hyperholomorphic Cauchy's Intergral Representations Hyperholomorphic D-Problem Complex Hodge-Dolbeault System, the ?-Problem and the Koppelman Formula Relation Between Hyperholomorphic Theory and Clifford Analysis Science Science eBook, CRC Press

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Integral Theorems for Functions and Differential Forms in C(m)
Autor:

Rocha-Chavez, Reynaldo; Shapiro, M.; Shapiro, Michael

Titel:

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

ISBN-Nummer:

9781584882466

This Research Note provides a deep link between the active fields of Several Complex Variables Theory and Clifford Analysis. The authors draw on their extensive research in the field to establish integral theorems for Several Complex Variables Theory, which forms a bridge between it and Function Theory in one complex variable. There has recently been a strong period of activity in the field, and Integral Theorems for Functions and Differential Forms in Cm provides a good "summing up" by presenting a complete and up-to-date survey, as well as new results and methods.

Detailangaben zum Buch - Integral Theorems for Functions and Differential Forms in C(m)


EAN (ISBN-13): 9781584882466
ISBN (ISBN-10): 1584882468
Taschenbuch
Erscheinungsjahr: 2001
Herausgeber: CHAPMAN & HALL
216 Seiten
Gewicht: 0,327 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 19.05.2007 23:44:47
Buch zuletzt gefunden am 07.11.2016 22:58:39
ISBN/EAN: 9781584882466

ISBN - alternative Schreibweisen:
1-58488-246-8, 978-1-58488-246-6

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