Fourier analysis Part I, Theory Part I, Theory

Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, compr...

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Detalles Bibliográficos
Otros Autores: Constantin, Adrian, autor (autor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 2016.
Colección:CUP ebooks.
London Mathematical Society student texts ; 85.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b45417453*spi
Descripción
Sumario:Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.
Descripción Física:1 recurso electrónico (xiv, 353 páginas)
Formato:Forma de acceso: World Wide Web.
ISBN:9781107358508