Detailansicht
Complex Analysis
A Functional Analytic Approach, De Gruyter Textbook
ISBN/EAN: 9783110417234
Umbreit-Nr.: 2133861
Sprache:
Englisch
Umfang: IX, 338 S., 30 s/w Illustr., 30 b/w ill.
Format in cm: 2 x 24.2 x 17.2
Einband:
Paperback
Erschienen am 23.11.2017
Auflage: 1/2018
- Zusatztext
- In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchys integral theorem general versions of Runges approximation theorem and Mittag-Lefflers 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 Cauchys Theorem and Cauchys 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
- Autorenportrait
- Friedrich Haslinger, University of Vienna, Austria.