他试图把Weierstrass观点摆到图像的中心,但这里有一个天然的(?)的限制:从积分表示构造幂级数表示要比从幂级数表示构造积分表示自然得多。因而他不得不在两种观点间来回跳跃,远不如Ahlfors宏大而一致。当然他的牺牲也获得了某种回报:Weierstrass观点可以毫不费力地推广到多变元(Cauchy的大部分函数论定理也仍然正确;高维...
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Ahlfors, L., Sario, L.: Riemann Surfaces. Princeton, N.J.: Princeton University Press 1960 Google Scholar Andreotti, A., Vesentini, E.: Carleman estimates for the Laplace-Beltrami equation on complex manifolds. Inst. Hautes Études Sci. Publ. Math.25, 81–130 (1965) Google Scholar ...
equation with vmo type coefficients article 01 december 2019 data availability data sharing not applicable to this article as no datasets were generated or analysed during the current study. references ahlfors, l.v.: conformal invariants. mcgraw-hill, new york (1974) google scholar andersson,...
subset of those in Ahlfors’s book, which has influenced me to a great extent. Three other books that I really liked are [P-L], [S] and [R]. I wrote down the material in section 3.5, and later on was very happy to read similar exposition in Remmert’s book, the English ...
Complex Analysis Ahlfors Solutions – A number of solutions to textbook exercises which Matthew “Matt” Rosenzweig worked out as part of a complex analysis course (Math 213a) taken in Fall 2011. Complex_Analysis (Stein Shakarchi) Solution to Complex Analysis (Stein Shakarchi)...
They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a ...
L. Ahlfors,Lectures on Quasiconformal Mappings, Van Nostrand Company, Princeton, 1966. MATH Google Scholar G. Alessandrini,Critical points of solutions to the p-Laplace equation in dimension two, Universita’ degli studi di Firenze, Preprint 7 (1986). G. Alessandrini,The length of level lines ...
Lars Valerian Ahlfors was a Finnish mathematician who was awarded one of the first two Fields Medals in 1936 for his work with Riemann surfaces. He also won the Wolf Prize in 1981. Ahlfors received his Ph.D. from the University of Helsinki in 1932. He he
The complex exponential function exp is a well-known entire function. In this paper, we recall its relation with the definition of the complex power of a complex number, which emanates that the complex power ez may coincide with it at some complex values