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Keyword

convolution operators

Description: Convolution operators are mathematical operators defined by convolving a function or distribution with a fixed kernel, studied in analysis and partial differential equations.
OpenAlex ID: keywords/convolution-operators
Extensions of Hardy spaces and their use in analysis
1977 · Ronald R. Coifman, Guido Weiss · Bulletin of the American Mathematical Society · 1,636
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Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system
2017 · Abdon Atangana · Chaos Solitons & Fractals · 832
An Introduction to Local Spectral Theory
2000 · Kjeld B Laursen, Michael M Neumann · 731
Convolution operators and L(p,q) spaces
1963 · Richard O’Neil · Duke Mathematical Journal · 723
On the Representation of Operators in Bases of Compactly Supported Wavelets
1992 · G. Beylkin · SIAM Journal on Numerical Analysis · 609
Inequalities for strongly singular convolution operators
1970 · Charles Fefferman · Acta Mathematica · 598
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A restriction theorem for the Fourier transform
1975 · Peter A. Tomas · Bulletin of the American Mathematical Society · 511
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Convolution Operators on Banach Space Valued Functions
1962 · A. Benedek, A. P. Calderón, et al. · Proceedings of the National Academy of Sciences · 501
Gabor Convolutional Networks
2018 · Shangzhen Luan, Chen Chen, et al. · IEEE Transactions on Image Processing · 425
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Theory of Bessel potentials. I
1961 · Nachman Aronszajn, K. T. Smith · Annales de l’institut Fourier · 411
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Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
1982 · Gerald B. Folland, Elias M. Stein · Princeton University Press eBooks · 313
Convolution and Hankel operator norms for linear systems
1989 · D.A. Wilson · IEEE Transactions on Automatic Control · 277
Convolution operator and maximal function for the Dunkl transform
2005 · Sundaram Thangavelu, Yuan Xu · Journal d Analyse Mathématique · 263
Harmonic synthesis for subgroups
1973 · Carl S. Herz · Annales de l’institut Fourier · 263
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Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
2007 · Vincent J. Ervin, Norbert Heuer, et al. · SIAM Journal on Numerical Analysis · 246
On a non-local equation arising in population dynamics
2007 · Jerome Coville, Louis Dupaigne · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 240
Fractional integration in Orlicz spaces. I
1965 · Richard O’Neil · Transactions of the American Mathematical Society · 234
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Topology optimization using regularized intermediate density control
2001 · Thomas Borrvall, Joakim Petersson · Computer Methods in Applied Mechanics and Engineering · 201
Theorie des systemes lineaires dans les dioides
1992 · Stéphane Gaubert · 191
On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
1975 · H.O Cordes · Journal of Functional Analysis · 188
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Convolutions with Kernels Having Singularities on a Sphere
1970 · Robert S. Strichartz · Transactions of the American Mathematical Society · 175
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Convolution Operators and Factorization of Almost Periodic Matrix Functions
2002 · Albrecht Böttcher, Yuri I. Karlovich, et al. · Birkhäuser Basel eBooks · 170
A Singular Integral
1986 · Javad Namazi · Proceedings of the American Mathematical Society · 161
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The Theory of p-Spaces with an Application to Convolution Operators
1971 · Carl Herz · Transactions of the American Mathematical Society · 149
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On convolution operators leavingL p,λ spaces invariant
1966 · Jaak Peetre · Annali di Matematica Pura ed Applicata (1923 -) · 148
Works count: 3,246
Citation count: 33,750
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