Complex Analysis: A Functional Analytic Approach (de Gruyter Textbook) (Paperback)

Complex Analysis: A Functional Analytic Approach (de Gruyter Textbook) By Friedrich Haslinger Cover Image

Complex Analysis: A Functional Analytic Approach (de Gruyter Textbook) (Paperback)

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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: Fr chet 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 Fr chet spaces of holomorphic functionsThe -complexThe twisted -complex and Schr dinger operators.
Friedrich Haslinger, University of Vienna, Austria.
Product Details ISBN: 9783110417234
ISBN-10: 3110417235
Publisher: de Gruyter
Publication Date: November 23rd, 2017
Pages: 347
Language: English
Series: de Gruyter Textbook