Periodic functions. Periodic distributions - Olariu, Valter Vasile;Olteanu, Cristian Octav
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The main purpose of the present text is to show how mathematical analysis describes periodic functions and distributions. Along the five chapters the basis of trigonometry (in the real and complex numbers setting), of trigonometric polynomials, and of Fourier - trigonometric series are discussed. Simple periodic as well as double periodic (elliptic) functions are studied. One uses both classical and functional analysis, the latter being applied in the theory of trigonometric series, as well as in studding periodic distributions (which are linear continuous functionals on certain test -…mehr

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Produktbeschreibung
The main purpose of the present text is to show how mathematical analysis describes periodic functions and distributions. Along the five chapters the basis of trigonometry (in the real and complex numbers setting), of trigonometric polynomials, and of Fourier - trigonometric series are discussed. Simple periodic as well as double periodic (elliptic) functions are studied. One uses both classical and functional analysis, the latter being applied in the theory of trigonometric series, as well as in studding periodic distributions (which are linear continuous functionals on certain test - function spaces). The book may be useful to any reader interested in periodic problems. Minimal knowledge in real and complex mathematical analysis is necessary for reading this work.
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Autorenporträt
Prof PhD Valter Olariu: PDEs, DEs, differential operators, mathematical Physics. Over 70 published scientific articles and 43 books. He was awarded by Romanian Ministry of Education. Prof. PhD Octav Olteanu: mathematical analysis; functional analysis; moment problem; polynomial approximation on unbounded subsets; 71 published articles and 16 books.