Fourier analysis - extremal problems - Krenedits, Sándor
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In this work the first chapter, titled "Three-term idempotent counterexamples in the Hardy-Littlewood majorant problem". First I veri_ed this counterexample for the three smallest cases (k = 0; 1; 2). In order to handle the calculation error, in the following three cases (k = 3; 4 and later even k = 5) I used more and more sophisticated processes and developed also an involved computer program to support the calculations. The second chapter is titled "Maximization problems for positive de_nite functions supported in a given subset of a locally compact group". Here I consider the extremal…mehr

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Produktbeschreibung
In this work the first chapter, titled "Three-term idempotent counterexamples in the Hardy-Littlewood majorant problem". First I veri_ed this counterexample for the three smallest cases (k = 0; 1; 2). In order to handle the calculation error, in the following three cases (k = 3; 4 and later even k = 5) I used more and more sophisticated processes and developed also an involved computer program to support the calculations. The second chapter is titled "Maximization problems for positive de_nite functions supported in a given subset of a locally compact group". Here I consider the extremal problem of maximizing a point value jf(z)j at a given point z in G by some positive definite and continuous function f on a locally compact group G, where z is in a given symmetric open set, and f vanishes outside this set, and is normalized by f(0) = 1.
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Autorenporträt
Sándor Krenedits is alecturer in the Department ofInformatics of Faculty of Mechanical Engineering of SzentIstvánUniversity(Gödöll¿, Hungary). He is programmer mathematician and mathematician. He teachesinformatics, programming, mathematics. Her main researcharea is analysis, with the topic discussed in this paper he won the Ames JMMABest Paper Award in 2012.