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portada Complex Analysis (de Gruyter Textbook)
Type
Physical Book
Author
Publisher
Year
2017
Language
English
Pages
338
Format
Paperback
Dimensions
24.4x17x1.9 cm
Weight
0.56 kg.
ISBN13
9783110417234
Edition No.
1
Categories

Complex Analysis (de Gruyter Textbook)

Friedrich Haslinger (Author) · de Gruyter · Paperback

Complex Analysis (de Gruyter Textbook) - Haslinger, Friedrich

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Synopsis "Complex Analysis (de Gruyter Textbook) "

In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy's integral theorem general versions of Runge's approximation theorem and Mittag-Leffler's theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Fréchet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. ContentsComplex numbers and functionsCauchy's Theorem and Cauchy's formulaAnalytic continuationConstruction and approximation of holomorphic functionsHarmonic functionsSeveral complex variablesBergman spacesThe canonical solution operator to Nuclear Fréchet spaces of holomorphic functionsThe -complexThe twisted -complex and Schrödinger operators

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