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Precise conditions are given under which the real interpolation space (Y0 ,X 1)θ,p coincides with a closed subspace of (X0 ,X 1)θ,p when Y0 is a closed sub- space of codimension one. This result is applied to the study of nonharmonic... more
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In quantum mechanics, the expectation value of a quantity on a quantum state, provided that the state itself gives in the classical limit a motion of a particle in a definite path, in classical limit goes over to Fourier series form of... more
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A semi-analytical analysis for the transient elastodynamic response of an arbitrarily thick simply supported beam due to the action of an arbitrary moving transverse load is presented, based on the linear theory of elasticity. The... more
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ABSTRACT Differential equations play a noticeable role in engineering, physics, economics, and other disciplines. In this paper, a general approach is suggested to solve a wide variety of linear and nonlinear ordinary differential... more
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Neste trabalho é introduzido um novo algoritmo, desenvolvido no ambiente Matlab, para realizar uma estimação dos coeficientes de uma série trigonométrica de Fourier, baseado no método dos mínimos quadrados seqüencial. São apresentadas... more
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This paper analyzes the behavior of Fourier Series applied to a simple function, namely the square sine wave. The study reveals and quantifies discrepancies between the function and its Fourier series, finding that the series' leaps... more
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Book by Nakhle H. Asmar
Partial Differential Equations and Boundary Value Problems with Fourier Series (2004)
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Analisis Fourier Series
Fourier Transform
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by Loukas Grafakos, Springer
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A new algorithm is presented for the identification of non-linear lumped time-invariant SISO systems. The method is based on differentiation properties of the exponential Fourier series and can be used to identify a wide class of systems.... more
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This book is intended as a text for a two-semester course at the advanced undergraduate or first-year graduate level. The present volume develops both the real and complex theory together. The contents and scope of the book are best made... more
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This module highlights Fouries series and the F−transform, from the general definition, important sequences with further key properties and its inverse F−transform along with some applications
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