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Complex Analysis: A Functional Analytic Approach - Friedrich Haslinger

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2017-11-23
76,49 € 117,67 €

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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: Fréchet and Hilber ... Visas aprašymas

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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: 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. Contents Complex numbers and functions Cauchy¿s Theorem and Cauchy¿s formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Fréchet spaces of holomorphic functions The -complex The twisted -complex and Schrödinger operators

Daugiau informacijos

Autorius Friedrich Haslinger
Leidėjas De Gruyter
Series De Gruyter Textbook
Išleidimo metai 2017
Viršelio tipas Minkšti viršeliai
EAN 9783110417234
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76,49 € 117,67 €