It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these ...

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Linear transforms — like a Fourier transform — are a key math tool ... The technique doesn’t use any conventional processing elements and, instead, relies on diffractive surfaces.

Sogge, Christopher D. Xi, Yakun and Xu, Hang 2018. On Instability of the Nikodym Maximal Function Bounds over Riemannian Manifolds. The Journal of Geometric Analysis ...

The fast Fourier transform, forward and inverse, has found many applications in signal processing. Although the theory of fast Fourier transforms is well-known, numerous commercially available ...

A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

Please note that audiobooks and ebooks purchased from this site must be accessed on the Princeton University Press app. After you make your purchase, you will receive ...

6.2: The Fourier ... transform of the object along a semicircular arc. (From [Sla83].) Before giving a short proof of the theorem, we would like to say a few words about the dimensionality of the ...

Most people who deal with electronics have heard of the Fourier transform. That mathematical process makes it possible for computers to analyze sound, video, and it also offers critical math ...

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A humanoid robot made by a Chinese company proposes to redefine personalized elderly care and assistance for people with ...