Résultats de la recherche - "Fourier transform"

Introducción al análisis de Fourier en grupos par Gómez Alvarado, Betzaida Gloribel, Mejía Rosales, Karla Marcela

“…Chapter 2 constitutes the core of our work since it shows the basic theorems of Fourier analysis, for this we introduce the foundations of the abstract theory of the Haar measure and the Fourier transform on locally compact abelian groups. Among the theorems of importance are: The Investment Theorem, Plancherel's Theorem, Pontryagin's Duality Theorem and Bohr's Compactification; and finally Chapter 3 contains the structure theory of locally compact abelian groups, studying the duality between subgroups and quotient mappings, direct sum and nomothetic groups; and ending with the proof of the Principal Structure Theorem…”
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Análisis armónico sobre la esfera par López Sandoval, Jaime Arnoldo, Hernández Salamanca, Maritza Odexa

“…Hilbert spaces: A brief but important and relevant review of pre-Hilbert spaces and Hilbert spaces are done to obtain the necessary results that will be of great importance for later chapters. Fourier transform: In this chapter the situation of a non-periodic function is taken into account, the investment formula and Plancherel's theorem are studied, in the same way, the criteria under which the Poisson series formula is maintained will be known . …”
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