{"product_id":"9783110377835","title":"The d-bar Neumann Problem and Schr#x000F6;dinger Operators","description":"\u003cp\u003eThe topic of this bookis located at the intersection of complex analysis, operator theory and partial differential equations. First we investigate the canonical solution operator to d-bar restricted to Bergman spaces of holomorphic \u003cb\u003eL\u003c\/b\u003e\u003csup\u003e2\u003c\/sup\u003e functions in one and several complex variables. These operators are Hankel operators of special type. In the following we consider the general d-bar-complex and derive properties of the complex Laplacian on \u003cb\u003eL\u003c\/b\u003e\u003csup\u003e2\u003c\/sup\u003e spaces of bounded pseudoconvex domains and on weighted \u003cb\u003eL\u003c\/b\u003e\u003csup\u003e2\u003c\/sup\u003e spaces.The main part is devoted to compactness of the d-bar-Neumann operator. The last part will contain a detailed account of the application of the d-bar-methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians.\u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":47133231284464,"sku":"9783110377835","price":182.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783110377835_p0.jpg?v=1763717967","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783110377835","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}