It takes the average reader 3 hours and 6 minutes to read Analytic convexity and the principle of Phragmen-Lindeloff by Aldo Andreotti
Assuming a reading speed of 250 words per minute. Learn more
We 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.
Analytic convexity and the principle of Phragmen-Lindeloff by Aldo Andreotti is 184 pages long, and a total of 46,736 words.
This makes it 62% the length of the average book. It also has 57% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 15 minutes to read Analytic convexity and the principle of Phragmen-Lindeloff aloud.
Analytic convexity and the principle of Phragmen-Lindeloff is suitable for students ages 10 and up.
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