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Synopsis
In this textbook, an elegant and fresh approach to complex analysis of single and multiple variables is presented. After an introduction of Cauchy's integral theorem and analytic continuation, harmonic functions are discussed in the first part. The second part is concerned with functional analytic methods, such as the Bergman kernel, to tackle the theory of multiple variables.
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About the Author
Friedrich Haslinger, University of Vienna, Austria.
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Complex Analysis : A Functional Analytic Approach
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Complex Analysis: A Functional Analytic Approach (Paperback or Softback)
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Complex Analysis: A Functional Analytic Approach (De Gruyter Textbook)
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Complex Analysis
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ISBN 13: 9783110417234
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Paperback. Condition: New. 1st. 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. Seller Inventory # LU-9783110417234
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Complex Analysis : A Functional Analytic Approach
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Complex Analysis: A Functional Analytic Approach (De Gruyter Textbook)
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Complex Analysis
Published by
De Gruyter, DE, 2017
ISBN 10: 3110417235
ISBN 13: 9783110417234
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Paperback. Condition: New. 1st. 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. Seller Inventory # LU-9783110417234
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