Replica Fourier Transform: Properties and applications
نویسندگان
چکیده
منابع مشابه
The Fast Fourier Transform and Its Applications
The advent of the fast Fourier transform method has greatly extended our ability to implement Fourier methods on digital computers. A description of the alogorithm and its programming is given here and followed by a theorem relating its operands, the finite sample sequences, to the continuous functions they often are intended to approximate. An analysis of the error due to discrete sampling ove...
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In this paper, we advance the concept of warped discrete-Fourier transform (WDFT), which is the evaluation of frequency samples of the -transform of a finite-length sequence at nonuniformly spaced points on the unit circle obtained by a frequency transformation using an allpass warping function. By factorizing the WDFT matrix, we propose an exact computation scheme for finite sequences using le...
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The symmetric spaces the title refers to are the spaces X = G=K where G is a connected semisimple Lie group with nite center and K is a maximal compact subgroup. The Fourier transform on X is deened by means of the Iwasawa decomposition G = NAK of G where N is nilpotent and A abelian. Let g; n; a; k denote the corresponding Lie algebras. We also need the group M = K A ; the centralizer of A in ...
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1 Review 1.1 Setup In the previous lecture, we considered an apparatus consisting of three planes: • an aperture plane. Coordinates on the aperture plane are denoted by x and y. • a transform plane. Coordinates on the transform plane are denoted by X and Y. • an image plane. Coordinates on the image plane are denoted by x and y. We defined the spatial frequencies, µ = k f X ν = k f Y where f is...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2015
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2014.12.002