Imagine driving down a busy highway. You need to check your speed and navigation, but glancing down at the dashboard takes ...

The Fourier Neural Operator (FNO) [1] is a neural operator with an integral kernel parameterized in Fourier space. This allows for an expressive and efficient architecture. Applications of the FNO ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

This book is an interesting sign of the times. The gulf between pure and applied mathematics, in this country at any rate, has of recent years become more and more complete. Indeed there is no one who ...

SINCE the publication of Prof. Zygmund's “Trigonometric Series” in 1935, there has been considerable demand for another book dealing with trigonometric integrals. Prof. Titchmarsh's book meets this ...

ABSTRACT: The exponential transform or modified Fourier transform is an integral transform where the Kernel function is K a ( ξ,t )= a −iξt , and a∈] 1,+∞ [ . This is a general case of the Fourier ...

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Did you know that the average annual cost of in-home care in the U.S. has now surpassed $60,000? It's a staggering figure that's leaving many families scrambling for alternatives. But what if I told ...

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Abstract: The fast Fourier transform is a computational procedure for calculating the finite Fourier transform of a time series. In this paper, the properties of the finite Fourier transform are ...