Results 31 to 40 of about 277,415 (327)
Domain Agnostic Fourier Neural Operators [PDF]
Neural Information Processing Systems, 2023 Fourier neural operators (FNOs) can learn highly nonlinear mappings between function spaces, and have recently become a popular tool for learning responses of complex physical systems.
Ning Liu, S. Jafarzadeh, Yue Yu
semanticscholar +1 more source
Unsteady bending function for an unlimited anisotropic plate [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This work is devoted to the study of non-stationary vibrations of a thin anisotropic unbounded Kirchhoff plate under the influence of random non-stationary loads.
Alexander O. Serdiuk +2 more
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Fourier Analysis with Generalized Integration
Mathematics, 2020 We generalize the classic Fourier transform operator F p by using the Henstock–Kurzweil integral theory. It is shown that the operator equals the H K -Fourier transform on a dense subspace of L p , 1
Juan H. Arredondo +2 more
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AN OPERATOR METHOD FOR THE PROBLEM OF PLANE WAVE DIFFRACTION BY INFINITELY THIN, PERFECTLY CONDUCTING HALF-PLANE AND TWO DISKS [PDF]
Radio Physics and Radio Astronomy, 2022 Subject and Purpose. Considered in the paper is diffraction of a plane wave by a structure involving a half-plane and two disks. The disks and the half-plane, lying within parallel planes, are assumed to be infinitely thin and perfectly conducting.
M. E. Kaliberda +2 more
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Generalized oscillatory integrals and Fourier integral operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 2009 AbstractIn this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need for a general framework for partial differential
Claudia Garetto +2 more
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The Clifford-Fourier integral kernel in even dimensional Euclidean space [PDF]
, 2010 Recently, we devised a promising new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier–Bessel transform.
Brackx, Fred +2 more
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On Fourier Integral Operators [PDF]
Proceedings of the American Mathematical Society, 1982 We consider operators of the form: ∫ − ∞ ∞ F t φ ( t ) d t \int _{ - \infty }^\infty {{F_t}\varphi (t)\;dt} , where
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On Integral Operators with Operator Valued Kernels [PDF]
, 2009 Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.Comment: 9 ...
Shahmurov, Rishad
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Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions [PDF]
, 2011 The aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operator of Schr\"{o}dinger type and an integral operator of Fourier type.
de la Iglesia, Manuel D.
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Journal of Kufa for Mathematics and Computer, 2013 In this paper , we introduced a new subclass  which consists of analytic and valent functions with negative coefficients in the unit disk defined by integral operator .
Rafid Habib Buti
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