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Harmonic analysis. Fourier analysis --- Mathematical physics --- 534 --- 517.44 --- Vibrations. Acoustics --- Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- 517.44 Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- 534 Vibrations. Acoustics
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Fourier Analysis --- 517.518.5 --- 517.518.4 --- Fourier analysis --- Analysis, Fourier --- Mathematical analysis --- Theory of the Fourier integral --- Trigonometric series --- Fourier analysis. --- 517.518.4 Trigonometric series --- 517.518.5 Theory of the Fourier integral --- Harmonic analysis. Fourier analysis --- Fourier, Analyse de --- Analyse harmonique
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Fourier transformations --- 517.44 --- 517.44 Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Transformations de Fourier --- 548.1:51 --- Mathematical crystallography. Continuum theory of crystals-:-Mathematics --- Fourier transformations. --- 548.1:51 Mathematical crystallography. Continuum theory of crystals-:-Mathematics --- #WSCH:FYS3 --- #WSCH:MONO --- Fourieranalyse --- toegepaste wiskunde --- Harmonic analysis. Fourier analysis --- Mathematical physics --- Fourier, Transformations de --- Methodes mathematiques de la physique
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This book is concerned with the well-established mathematical technique known as Fourier analysis (or alternatively as harmonic or spectral analysis). It is a handbook comprising a collection of the most important theorems in Fourier analysis, presented without proof in a form that is accurate but also accessible to a reader who is not a specialist mathematician. The technique of Fourier analysis has long been of fundamental importance in the physical sciences, engineering and applied mathematics, and is today of particular importance in communications theory and signal analysis. Existing books on the subject are either rigorous treatments, intended for mathematicians, or are intended for non-mathematicians, and avoid the finer points of the theory. This book bridges the gap between the two types. The text is self-contained in that it includes examples of the use of the various theorems, and any mathematical concepts not usually included in degree courses in physical sciences and engineering are explained. This handbook will be of value to postgraduates and research workers in the physical sciences and in engineering subjects, particularly communications and electronic engineering.
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