{"product_id":"9788876422430","title":"Analytic convexity and the principle of Phragmen-Lindeloff","description":"\u003ch1\u003eAnalytic convexity and the principle of Phragmen-Lindeloff\u003c\/h1\u003e \u003ch2\u003eAndreotti, Aldo; Nacinovich, Mauro\u003c\/h2\u003e \u003cp\u003eWe consider in Rn a differential operator P(D), P a polynomial, with constant coefficients. Let U be an open set in Rn and A(U) be the space of real analytic functions on U. We consider the equation P(D)u=f, for f in A(U) and look for a solution in A(U). Hormander proved a necessary and sufficient condition for the solution to exist in the case U is convex. From this theorem one derives the fact that if a cone W admits a Phragmen-Lindeloff principle then at each of its non-zero real points the real part of W is pure dimensional of dimension n-1. The Phragmen-Lindeloff principle is reduced to the classical one in C. In this paper we consider a general Hilbert complex of differential operators with constant coefficients in Rn and we give, for U convex, the necessary and sufficient conditions for the vanishing of the H1 groups in terms of the generalization of Phragmen-Lindeloff principle.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Edizioni della Normale\u003c\/p\u003e \u003cp\u003ePublication Date: 1980-10-01\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9788876422430\u003c\/p\u003e \u003cp\u003eDOI: \u003c\/p\u003e \u003cp\u003eDimensions: 240.0cm x170.0cm\u003c\/p\u003e \u003cp\u003ePages: 184.0\u003c\/p\u003e ","brand":"Scuola Normale Superiore","offers":[{"title":"Default Title","offer_id":44521771991180,"sku":"9788876422430","price":22.45,"currency_code":"USD","in_stock":true}],"url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9788876422430","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}