Results 61 to 70 of about 1,210,190 (191)
Quot schemes and Fourier-Mukai transformation [PDF]
arXiv, 2023 We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is described.
arxiv
Fourier transform and related integral transforms in superspace [PDF]
, 2008 In this paper extensions of the classical Fourier, fractional Fourier and Radon transforms to superspace are studied. Previously, a Fourier transform in superspace was already studied, but with a different kernel. In this work, the fermionic part of the Fourier kernel has a natural symplectic structure, derived using a Clifford analysis approach ...
arxiv +1 more source
On Fourier re-expansions [PDF]
arXiv, 2012 We study an extension to Fourier transforms of the old problem on absolute convergence of the re-expansion in the sine (cosine) Fourier series of an absolutely convergent cosine (sine) Fourier series. The results are obtained by revealing certain relations between the Fourier transforms and their Hilbert transforms.
arxiv
Reduced Order Fractional Fourier Transform A New Variant to Fractional Signal Processing Definition and Properties [PDF]
arXiv, 2018 In this paper, a new variant to fractional signal processing is proposed known as the Reduced Order Fractional Fourier Transform. Various properties satisfied by its transformation kernel is derived. The properties associated with the proposed Reduced Order Fractional Fourier Transform like shift, modulation, time-frequency shift property are also ...
arxiv
Fourier transform and middle convolution for irregular D-modules [PDF]
arXiv, 2008 S.Block and H.Esnault constructed the local Fourier transform for D-modules. We present a different approach to the local Fourier transform, which makes its properties almost tautological. We apply the local Fourier transform to compute the local version of Katz's middle convolution.
arxiv
Calculation of local Fourier transforms for formal connections [PDF]
arXiv, 2007 We calculate the local Fourier transforms for formal connections. In particular, we verify an analogous conjecture suggested in Laumon's paper: "Transformation de Fourier, constantes d'equations fonctionnelles et conjecture de Weil, 2.6.3".
arxiv
Logarithm of the Discrete Fourier Transform
International Journal of Mathematics and Mathematical Sciences, 2007 The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.
Michael Aristidou, Jason Hanson
doaj +1 more source
A New Viewpoint to the Discrete Approximation: Discrete Yang-Fourier Transforms of Discrete-time Fractal Signal [PDF]
arXiv, 2011 It is suggest that a new fractal model for the Yang-Fourier transforms of discrete approximation based on local fractional calculus and the Discrete Yang-Fourier transforms are investigated in detail.
arxiv
Eigenvectors of the Discrete Fourier Transform Based on the Bilinear Transform
EURASIP Journal on Advances in Signal Processing, 2010 Determining orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, is crucial in the definition of the discrete fractional Fourier transform.
Ahmet Serbes, Lutfiye Durak-Ata
doaj +2 more sources