Results 11 to 20 of about 4,390,707 (282)
Fourier–Zernike Series of Convolutions on Disks [PDF]
Mathematics, 2018 This paper presents a systematic study of the analytic aspects of Fourier⁻Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions.
Arash Ghaani Farashahi +1 more
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Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications
Mathematics, 2021 In this paper, we first discuss the convolution series that are generated by Sonine kernels from a class of functions continuous on a real positive semi-axis that have an integrable singularity of power function type at point zero.
Yuri Luchko
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Eisenstein series and convolution sums [PDF]
The Ramanujan Journal, 2018 14 ...
Aygin, Zafer Selcuk
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Analysis of scalar fields with series convolution
European Physical Journal C: Particles and FieldsWave equations for some curved spacetimes may involve functions that prevent a solution in a closed form. In some cases, these functions can be eliminated by transformations and the solutions can be found analytically.
Emir Baysazan +2 more
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SPECIAL VALUES OF SHIFTED CONVOLUTION DIRICHLET SERIES [PDF]
Mathematika, 2015 18 pages, corrected slight error in main theorem and made according minor edits in Sections 3.4 and 3 ...
Mertens, Michael H, Ono, Ken
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An Algorithm for the Convolution of Legendre Series [PDF]
, 2016 An O(N^2) algorithm for the convolution of compactly supported Legendre series is described. The algorithm is derived from the convolution theorem for Legendre polynomials and the recurrence relation satisfied by spherical Bessel functions. Combining with previous work yields an O(N^2) algorithm for the convolution of Chebyshev series.
Hale, N, Townsend, A
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Improved features using convolution-augmented transformers for keyword spotting [PDF]
ITM Web of Conferences, 2022 Transformer can effectively model long rang dependency, but suffer from uncapable to extract local feature patterns. While CNNs exploit local features effectively.
Wang Yi +4 more
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Quantum stochastic convolution cocycles III [PDF]
, 2012 The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G., Lindsay, J. Martin
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Convolution semigroups of states. [PDF]
, 2011 Convolution semigroups of states on a quantum group form the natural noncommutative analogue of convolution semigroups of probability measures on a locally compact group.
Lindsay, Martin, Skalski, Adam G.
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Operational Calculus for the General Fractional Derivatives of Arbitrary Order
Mathematics, 2022 In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin.
Maryam Al-Kandari +2 more
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