| Complex Analysis: A Functional Analytic Approach Contributor(s): Haslinger, Friedrich (Author) |
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ISBN: 3110417235 ISBN-13: 9783110417234 Publisher: de Gruyter OUR PRICE: $56.69 Product Type: Paperback - Other Formats Published: November 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Complex Analysis - Mathematics | Functional Analysis - Mathematics | Calculus |
| Dewey: 515.7 |
| LCCN: 2017059806 |
| Series: de Gruyter Textbook |
| Physical Information: 0.8" H x 6.6" W x 9.4" (1.50 lbs) 347 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 |
Contributor Bio(s): Haslinger, Friedrich: - Friedrich Haslinger, University of Vienna, Austria. |