Results 211 to 220 of about 398,264 (269)

Fourier Series and Fourier Transforms

2003
In Chapter 3, we touched upon the analogy between the diffraction of x-rays and that of visible light. Here, we extend that discussion and consider some aspects of Fourier series and Fourier transforms.
Mark Ladd, Rex Palmer
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Fourier matrices and Fourier tensors

Frontiers of Mathematics in China, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fourier microfluidics

Lab on a Chip, 2008
We present a new experimental technique for the separation of dynamic chemical signals based on their frequency domain characteristics. Such a technique can be used to create filters that separate slow signals from fast signals from a common input flow stream.
Y, Xie, Y, Wang, L, Chen, C H, Mastrangelo   +3 more
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Fourier Series and Fourier Transform

1998
In this chapter we look at some of the eigenfunction expansions in terms of Fourier series. We develop the Fourier transform and use it to solve the heat equation again. We also give a brief treatment of the discrete Fourier transform (DFT) and the fast Fourier transform (FFT).
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The Fourier Series and Fourier Transform

2020
We encountered the Fourier series in passing in Chap. 5. Then it was just to illustrate the importance of sine waves as a fundamental waveform from which more complex ones such as a square wave could be constructed by adding them with different frequencies and amplitudes.
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Fourier Integrals and Fourier Transforms

2009
The concept of an infinite series dates back as far as the ancient Greeks such as Archimedes (287-212 b.c., who summed a geometric series in order to compute the area under a parabolic arc. In the eighteenth century, power series expansions for functions like e x , sin x, and arctan x were first published by the Scottish mathematician C.
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Fourier Series and the Fourier Transform

2016
This chapter is entirely devoted to Fourier series and Fourier transforms, given their place and role in analysis, in mathematics, and in applications, especially in physics and engineering.
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Fourier Analysis and Fourier Transform

2017
The origins of Fourier analysis in science can be found in Ptolemy’s decomposing celestial orbits into cycles and epicycles and Pythagoras’ decomposing music into consonances. Its modern history began with the eighteenth century work of Bernoulli, Euler, and Gauss on what later came to be known as Fourier series. J.
Aparna Vyas, Soohwan Yu, Joonki Paik
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On the Fourier series and Fourier transforms

Journal of Mathematical Sciences, 2019
This survey article is addresses to classical harmonic analysis. In particular, a number of classical theorems are presented with the simplest, in our opinion, proofs (see also [1] and references therein). Some results of the present article are new and are published for the first time.
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ON FOURIER COEFFICIENTS

Mathematics of the USSR-Sbornik, 1981
Let be an orthonormal system of functions on the interval , and let the function . We investigate the question of the convergence or divergence (depending on the smoothness of the function ) of series of the form where or with .It is shown that in a certain sense, the assertions obtained are definitive for the Haar system.Bibliography: 14 titles.
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