Results 11 to 20 of about 45,363 (158)
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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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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Restoration of a blurred photographic image of a moving object obtained at the resolution limit
Российский технологический журнал, 2023 Objectives. When processing images of the Earth’s surface obtained from satellites, the problem of restoring a blurry image of a moving object is of great practical importance.
V. B. Fedorov +2 more
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Optimization of the 2P fifth degree convolution kernel in the spectral domain [PDF]
Bulletin of Natural Sciences Research, 2023 The first part of the paper describes a two-parameter (2P) fifth-order interpolation kernel, r. After that, from the 2P kernel, the kernel components were created.
Savić Nataša +2 more
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Hybrid Dilated and Recursive Recurrent Convolution Network for Time-Domain Speech Enhancement
Applied Sciences, 2022 In this paper, we propose a fully convolutional neural network based on recursive recurrent convolution for monaural speech enhancement in the time domain. The proposed network is an encoder-decoder structure using a series of hybrid dilated modules (HDM)
Zhendong Song +3 more
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Eisenstein series and convolution sums [PDF]
The Ramanujan Journal, 2018 14 ...
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A T-CNN time series classification method based on Gram matrix
Scientific Reports, 2022 Time series classification is a basic task in the field of streaming data event analysis and data mining. The existing time series classification methods have the problems of low classification accuracy and low efficiency.
Junlu Wang +4 more
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Dirichlet Series and Convolution Equations
Publications of the Research Institute for Mathematical Sciences, 1988 There are two main methods to study analytic continuation properties of Dirichlet series \[ f(s)=\sum_{n\geq 1}a_ ne^{\lambda_ ns}\quad with\quad finite\quad density, \] i.e., \(n/\lambda_ n=0(1)\). One is due to Hadamard and consists of the use of entire functions \(\gamma\) that interpolate the values \(a_ n\) at the points \(z=\lambda_ n\) (cf ...
Berenstein, C. A., Struppa, Daniele C.
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Fourier Series and Transforms via Convolution
CoRR, 2022 In this paper we show an alternative way of defining Fourier Series and Transform by using the concept of convolution with exponential signals. This approach has the advantage of simplifying proofs of transforms properties and, in our view, may be interesting for educational purposes.
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Multiple Dirichlet series and shifted convolutions
Journal of Number Theory, 2016 We define, and obtain the meromorphic continuation of, shifted Rankin-Selberg convolutions in one and two variables. As sample applications, this continuation is used to obtain estimates for single and double shifted sums and a Burgess-type bound for $L$-series associated to modular forms of arbitrary central character.
Jeff Hoffstein +2 more
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