{"product_id":"complex-analysis-a-functional-analytic-approach-paperback","title":"Complex Analysis: A Functional Analytic Approach - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eFriedrich Haslinger\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn 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. \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eContents\u003c\/strong\u003e\u003cbr\u003eComplex numbers and functions\u003cbr\u003eCauchy's Theorem and Cauchy's formula\u003cbr\u003eAnalytic continuation\u003cbr\u003eConstruction and approximation of holomorphic functions\u003cbr\u003eHarmonic functions\u003cbr\u003eSeveral complex variables\u003cbr\u003eBergman spaces\u003cbr\u003eThe canonical solution operator to \u003cbr\u003eNuclear Fréchet spaces of holomorphic functions\u003cbr\u003eThe -complex\u003cbr\u003eThe twisted -complex and Schrödinger operators \u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFriedrich Haslinger\u003c\/strong\u003e, University of Vienna, Austria.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 347\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.8 x 9.4 x 6.6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 18, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47412260176121,"sku":"9783110417234","price":76.66,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/QeE2cvHtOx9783110417234.webp?v=1770839985","url":"https:\/\/bookscloud.io\/products\/complex-analysis-a-functional-analytic-approach-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}