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## Ron, Amos

Compute Distance To:
 Author ID: ron.amos Published as: Ron, Amos; Ron, A. Homepage: http://pages.cs.wisc.edu/~amos/ External Links: MGP · ResearchGate
 Documents Indexed: 73 Publications since 1988, including 2 Books
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#### Co-Authors

 14 single-authored 18 de Boor, Carl 15 Shen, Zuowei 9 Dyn, Nira 6 DeVore, Ronald A. 3 Holtz, Olga 3 Hur, Youngmi 2 Ben-Artzi, Asher 2 Buhmann, Martin Dietrich 2 Daubechies, Ingrid Chantal 2 Goh, Say Song 1 Chui, Charles Kam-tai 1 Cohen, Albert 1 Gröchenig, Karlheinz 1 Gyn, N. 1 Han, Bin 1 Hangelbroek, Thomas C. 1 Jackson, I. R. H. 1 Kim, Yeonhyang 1 Li, Nan 1 Micchelli, Charles A. 1 Plonka, Gerlind 1 Sivakumar, N. R. 1 Sun, Xingping 1 Xu, Zhiqiang
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#### Serials

 10 Constructive Approximation 9 Journal of Approximation Theory 5 Transactions of the American Mathematical Society 3 Mathematics of Computation 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Mathematical Analysis 3 Applied and Computational Harmonic Analysis 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Canadian Journal of Mathematics 2 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 IEEE Transactions on Information Theory 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Advances in Applied Mathematics 1 Approximation Theory and its Applications 1 SIAM Journal on Matrix Analysis and Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Journal of Fourier Analysis and Applications 1 Journal of Algebra and its Applications
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#### Fields

 49 Approximations and expansions (41-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 9 Functional analysis (46-XX) 9 Numerical analysis (65-XX) 6 Operator theory (47-XX) 4 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 2,172 times in 1,113 Documents Cited by Year
Affine systems in $$L_ 2(\mathbb{R}^d)$$: The analysis of the analysis operator. Zbl 0891.42018
Ron, Amos; Shen, Zuowei
1997
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
2003
The structure of finitely generated shift-invariant spaces in $$L_ 2(\mathbb{R}^ d)$$. Zbl 0806.46030
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
1994
Frames and stable bases for shift-invariant subspaces of $$L_ 2(\mathbb{R}^ d)$$. Zbl 0838.42016
Ron, Amos; Shen, Zuowei
1995
Approximation from shift-invariant subspaces of $$L_ 2(\mathbb{R}^ d)$$. Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
1994
Weyl-Heisenberg frames and Riesz bases in $$L_2(\mathbb{R}^d)$$. Zbl 0892.42017
Ron, Amos; Shen, Zuowei
1997
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
1993
Affine systems in $$L_2(\mathbb{R}^d)$$. II: Dual systems. Zbl 0904.42025
Ron, Amos; Shen, Zuowei
1997
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
1990
Compactly supported tight affine spline frames in $$L_{2}(\mathbb{R}^{d})$$. Zbl 0892.42018
Ron, Amos; Shen, Zuowei
1998
Generalized shift-invariant systems. Zbl 1080.42025
Ron, Amos; Shen, Zuowei
2005
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution. Zbl 0667.41011
Ron, Amos
1989
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
1992
Computational aspects of polynomial interpolation in several variables. Zbl 0767.41003
De Boor, Carl; Ron, Amos
1992
Exponential box splines. Zbl 0674.41005
Ron, Amos
1988
Tight compactly supported wavelet frames of arbitrarily high smoothness. Zbl 0911.42014
Gröchenig, Karlheinz; Ron, Amos
1998
Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems. Zbl 0699.41012
Dyn, N.; Ron, A.
1990
The least solution for the polynomial interpolation problem. Zbl 0735.41001
de Boor, Carl; Ron, Amos
1992
On multivariate approximation by integer translates of a basis function. Zbl 0769.41008
Dyn, N.; Jackson, I. R. H.; Levin, D.; Ron, A.
1992
The Sobolev regularity of refinable functions. Zbl 0966.42026
Ron, Amos; Shen, Zuowei
2000
On polynomial ideals of finite codimension with applications to box spline theory. Zbl 0743.41013
De Boor, Carl; Ron, Amos
1991
Strictly positive definite functions on spheres in Euclidean spaces. Zbl 0853.42018
Ron, Amos; Sun, Xingping
1996
Translates of exponential box splines and their related spaces. Zbl 0718.41014
Ben-Artzi, Asher; Ron, Amos
1988
Zonotopal algebra. Zbl 1223.13010
Holtz, Olga; Ron, Amos
2011
On the integer translates of a compactly supported function: Dual bases and linear projectors. Zbl 0721.41021
Ben-Artzi, Asher; Ron, Amos
1990
Radial basis function approximation: From gridded centres to scattered centres. Zbl 0827.41007
Dyn, N.; Ron, A.
1995
Approximation orders of FSI spaces in $$L_2(\mathbb{R}^d)$$. Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
1998
Recurrence relations for Tchebycheffian B-splines. Zbl 0675.41021
Dyn, Nira; Ron, Amos
1988
The exponentials in the span of the multiinteger translates of a compactly supported function; quasiinterpolation and approximation order. Zbl 0757.41012
de Boor, Carl; Ron, Amos
1992
Approximation using scattered shifts of a multivariate function. Zbl 1215.41004
DeVore, Ronald; Ron, Amos
2010
The $$L_ 2$$-approximation orders of principal shift-invariant spaces generated by a radial basis function. Zbl 0820.41014
Ron, Amos
1992
A characterization of the approximation order of multivariate spline spaces. Zbl 0722.41016
Ron, Amos
1991
Factorization theorems for univariate splines on regular grids. Zbl 0731.41015
Ron, Amos
1990
Multiresolution analysis by infinitely differentiable compactly supported functions. Zbl 0811.42011
Dyn, N.; Ron, A.
1995
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
1991
Approximation orders of FSI spaces in $$L_2(\mathbb{R}^d)$$. Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
1998
Smooth refinable functions provide good approximation orders. Zbl 0876.42028
Ron, Amos
1997
Introduction to shift-invariant spaces. Linear independence. Zbl 1041.42031
Ron, A.
2001
The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025
Ron, Amos; Shen, Zuowei
2003
Linear independence of the translates of an exponential box spline. Zbl 0756.41020
Ron, Amos
1992
Hierarchical zonotopal spaces. Zbl 1254.13024
Holtz, Olga; Ron, Amos; Xu, Zhiqiang
2012
Approximation orders of shift-invariant subspaces of $$W_{2}^{s}(\mathbb R^d)$$. Zbl 1092.41010
Holtz, Olga; Ron, Amos
2005
Wavelets and their associated operators. Zbl 0937.42015
Ron, Amos
1998
Gramian analysis of affine bases and affine frames. Zbl 0927.42030
Ron, Amos; Shen, Zuowei
1995
Nonlinear approximation using Gaussian kernels. Zbl 1203.41015
Hangelbroek, Thomas; Ron, Amos
2010
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
2001
The approximation order of box spline spaces. Zbl 0766.41012
Ron, A.; Sivakumar, N.
1993
Radial basis functions: $$L^ p$$-approximation orders with scattered centres. Zbl 0824.41022
Buhmann, Martin D.; Ron, Amos
1994
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. Zbl 0999.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
1996
A new factorization technique of the matrix mask of univariate refinable functions. Zbl 0982.65150
Plonka, Gerlind; Ron, Amos
2001
Time frequency representations of almost periodic functions. Zbl 1159.42318
Kim, Yeon Hyang; Ron, Amos
2009
Cardinal translation invariant Tchebycheffian B-splines. Zbl 0709.41008
Gyn, N.; Ron, A.
1990
External zonotopal algebra. Zbl 1328.05037
Li, Nan; Ron, Amos
2014
Polynomial interpolation to data on flats in $$\mathbb{R}^d$$. Zbl 0960.41003
de Boor, Carl; Dyn, Nira; Ron, Amos
2000
On the convolution of a box spline with a compactly supported distribution: Linear independence for the integer translates. Zbl 0723.41011
Chui, Charles K.; Ron, Amos
1991
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. II. Zbl 0917.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
1996
How smooth is the smoothest function in a given refinable space? Zbl 0901.46024
Cohen, Albert; Daubechies, Ingrid; Ron, Amos
1996
L-CAMP: Extremely local high-performance wavelet representations in high spatial dimension. Zbl 1308.94032
Hur, Youngmi; Ron, Amos
2008
Approximation orders of and approximation maps from local principal shift-invariant spaces. Zbl 0831.41007
Ron, Amos
1995
On multivariate polynomial interpolation. Zbl 0751.41004
Dyn, N.; Ron, A.
1990
Negative observations concerning approximations from spaces generated by scattered shifts of functions vanishing at $$\infty$$. Zbl 0812.41030
Ron, Amos
1994
Asymptotically optimal approximation and numerical solutions of differential equations. Zbl 1031.65024
Buhmann, Martin D.; Micchelli, Charles A.; Ron, Amos
1997
Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms. Zbl 1162.65068
de Boor, Carl; Ron, Amos
2008
Polynomial ideals and multivariate splines. Zbl 0682.41023
de Boor, Carl; Ron, Amos
1989
Periodic exponential box splines on a three direction mesh. Zbl 0684.41010
Dyn, N.; Ron, A.
1989
Relations between the support of a compactly supported function and the exponential-polynomials spanned by its integer translates. Zbl 0685.41012
Ron, Amos
1990
New constructions of piecewise-constant wavelets. Zbl 1160.42319
Hur, Youngmi; Ron, Amos
2006
On the convolution of a box spline with a compactly supported distribution: The exponential-polynomials in the linear span. Zbl 0745.41013
Ron, Amos
1991
High-performance very local Riesz wavelet bases of $$L_2(\mathbb{R}^n)$$. Zbl 1250.42085
Hur, Youngmi; Ron, Amos
2012
External zonotopal algebra. Zbl 1328.05037
Li, Nan; Ron, Amos
2014
Hierarchical zonotopal spaces. Zbl 1254.13024
Holtz, Olga; Ron, Amos; Xu, Zhiqiang
2012
High-performance very local Riesz wavelet bases of $$L_2(\mathbb{R}^n)$$. Zbl 1250.42085
Hur, Youngmi; Ron, Amos
2012
Zonotopal algebra. Zbl 1223.13010
Holtz, Olga; Ron, Amos
2011
Approximation using scattered shifts of a multivariate function. Zbl 1215.41004
DeVore, Ronald; Ron, Amos
2010
Nonlinear approximation using Gaussian kernels. Zbl 1203.41015
Hangelbroek, Thomas; Ron, Amos
2010
Time frequency representations of almost periodic functions. Zbl 1159.42318
Kim, Yeon Hyang; Ron, Amos
2009
L-CAMP: Extremely local high-performance wavelet representations in high spatial dimension. Zbl 1308.94032
Hur, Youngmi; Ron, Amos
2008
Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms. Zbl 1162.65068
de Boor, Carl; Ron, Amos
2008
New constructions of piecewise-constant wavelets. Zbl 1160.42319
Hur, Youngmi; Ron, Amos
2006
Generalized shift-invariant systems. Zbl 1080.42025
Ron, Amos; Shen, Zuowei
2005
Approximation orders of shift-invariant subspaces of $$W_{2}^{s}(\mathbb R^d)$$. Zbl 1092.41010
Holtz, Olga; Ron, Amos
2005
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
2003
The wavelet dimension function is the trace function of a shift-invariant system. Zbl 1019.42025
Ron, Amos; Shen, Zuowei
2003
Introduction to shift-invariant spaces. Linear independence. Zbl 1041.42031
Ron, A.
2001
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
2001
A new factorization technique of the matrix mask of univariate refinable functions. Zbl 0982.65150
Plonka, Gerlind; Ron, Amos
2001
The Sobolev regularity of refinable functions. Zbl 0966.42026
Ron, Amos; Shen, Zuowei
2000
Polynomial interpolation to data on flats in $$\mathbb{R}^d$$. Zbl 0960.41003
de Boor, Carl; Dyn, Nira; Ron, Amos
2000
Compactly supported tight affine spline frames in $$L_{2}(\mathbb{R}^{d})$$. Zbl 0892.42018
Ron, Amos; Shen, Zuowei
1998
Tight compactly supported wavelet frames of arbitrarily high smoothness. Zbl 0911.42014
Gröchenig, Karlheinz; Ron, Amos
1998
Approximation orders of FSI spaces in $$L_2(\mathbb{R}^d)$$. Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
1998
Approximation orders of FSI spaces in $$L_2(\mathbb{R}^d)$$. Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
1998
Wavelets and their associated operators. Zbl 0937.42015
Ron, Amos
1998
Affine systems in $$L_ 2(\mathbb{R}^d)$$: The analysis of the analysis operator. Zbl 0891.42018
Ron, Amos; Shen, Zuowei
1997
Weyl-Heisenberg frames and Riesz bases in $$L_2(\mathbb{R}^d)$$. Zbl 0892.42017
Ron, Amos; Shen, Zuowei
1997
Affine systems in $$L_2(\mathbb{R}^d)$$. II: Dual systems. Zbl 0904.42025
Ron, Amos; Shen, Zuowei
1997
Smooth refinable functions provide good approximation orders. Zbl 0876.42028
Ron, Amos
1997
Asymptotically optimal approximation and numerical solutions of differential equations. Zbl 1031.65024
Buhmann, Martin D.; Micchelli, Charles A.; Ron, Amos
1997
Strictly positive definite functions on spheres in Euclidean spaces. Zbl 0853.42018
Ron, Amos; Sun, Xingping
1996
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. Zbl 0999.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
1996
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. II. Zbl 0917.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
1996
How smooth is the smoothest function in a given refinable space? Zbl 0901.46024
Cohen, Albert; Daubechies, Ingrid; Ron, Amos
1996
Frames and stable bases for shift-invariant subspaces of $$L_ 2(\mathbb{R}^ d)$$. Zbl 0838.42016
Ron, Amos; Shen, Zuowei
1995
Radial basis function approximation: From gridded centres to scattered centres. Zbl 0827.41007
Dyn, N.; Ron, A.
1995
Multiresolution analysis by infinitely differentiable compactly supported functions. Zbl 0811.42011
Dyn, N.; Ron, A.
1995
Gramian analysis of affine bases and affine frames. Zbl 0927.42030
Ron, Amos; Shen, Zuowei
1995
Approximation orders of and approximation maps from local principal shift-invariant spaces. Zbl 0831.41007
Ron, Amos
1995
The structure of finitely generated shift-invariant spaces in $$L_ 2(\mathbb{R}^ d)$$. Zbl 0806.46030
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
1994
Approximation from shift-invariant subspaces of $$L_ 2(\mathbb{R}^ d)$$. Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
1994
Radial basis functions: $$L^ p$$-approximation orders with scattered centres. Zbl 0824.41022
Buhmann, Martin D.; Ron, Amos
1994
Negative observations concerning approximations from spaces generated by scattered shifts of functions vanishing at $$\infty$$. Zbl 0812.41030
Ron, Amos
1994
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
1993
The approximation order of box spline spaces. Zbl 0766.41012
Ron, A.; Sivakumar, N.
1993
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
1992
Computational aspects of polynomial interpolation in several variables. Zbl 0767.41003
De Boor, Carl; Ron, Amos
1992
The least solution for the polynomial interpolation problem. Zbl 0735.41001
de Boor, Carl; Ron, Amos
1992
On multivariate approximation by integer translates of a basis function. Zbl 0769.41008
Dyn, N.; Jackson, I. R. H.; Levin, D.; Ron, A.
1992
The exponentials in the span of the multiinteger translates of a compactly supported function; quasiinterpolation and approximation order. Zbl 0757.41012
de Boor, Carl; Ron, Amos
1992
The $$L_ 2$$-approximation orders of principal shift-invariant spaces generated by a radial basis function. Zbl 0820.41014
Ron, Amos
1992
Linear independence of the translates of an exponential box spline. Zbl 0756.41020
Ron, Amos
1992
On polynomial ideals of finite codimension with applications to box spline theory. Zbl 0743.41013
De Boor, Carl; Ron, Amos
1991
A characterization of the approximation order of multivariate spline spaces. Zbl 0722.41016
Ron, Amos
1991
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
1991
On the convolution of a box spline with a compactly supported distribution: Linear independence for the integer translates. Zbl 0723.41011
Chui, Charles K.; Ron, Amos
1991
On the convolution of a box spline with a compactly supported distribution: The exponential-polynomials in the linear span. Zbl 0745.41013
Ron, Amos
1991
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
1990
Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems. Zbl 0699.41012
Dyn, N.; Ron, A.
1990
On the integer translates of a compactly supported function: Dual bases and linear projectors. Zbl 0721.41021
Ben-Artzi, Asher; Ron, Amos
1990
Factorization theorems for univariate splines on regular grids. Zbl 0731.41015
Ron, Amos
1990
Cardinal translation invariant Tchebycheffian B-splines. Zbl 0709.41008
Gyn, N.; Ron, A.
1990
On multivariate polynomial interpolation. Zbl 0751.41004
Dyn, N.; Ron, A.
1990
Relations between the support of a compactly supported function and the exponential-polynomials spanned by its integer translates. Zbl 0685.41012
Ron, Amos
1990
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution. Zbl 0667.41011
Ron, Amos
1989
Polynomial ideals and multivariate splines. Zbl 0682.41023
de Boor, Carl; Ron, Amos
1989
Periodic exponential box splines on a three direction mesh. Zbl 0684.41010
Dyn, N.; Ron, A.
1989
Exponential box splines. Zbl 0674.41005
Ron, Amos
1988
Translates of exponential box splines and their related spaces. Zbl 0718.41014
Ben-Artzi, Asher; Ron, Amos
1988
Recurrence relations for Tchebycheffian B-splines. Zbl 0675.41021
Dyn, Nira; Ron, Amos
1988
all top 5

#### Cited by 975 Authors

 60 Shen, Zuowei 39 Christensen, Ole 36 Ron, Amos 32 Han, Bin 26 Kim, Hong Oh 25 Li, Yunzhang 24 Kim, Rae Young 23 Sun, Qiyu 20 Bownik, Marcin 20 Skopina, Maria A. 19 Sun, Wenchang 18 Ji, Hui 16 Dong, Bin 16 Lim, Jae Kun 14 Cabrelli, Carlos A. 14 Goh, Say Song 14 Han, Deguang 13 Charina, Maria 13 Gröchenig, Karlheinz 13 Jiang, Qingtang 13 Pérez-Villalón, Gerardo 12 Chui, Charles Kam-tai 12 Dyn, Nira 12 García, Antonio G. 12 San Antolín, Angel 12 Shah, Firdous Ahmad 12 Stöckler, Joachim 11 Cai, Jian-Feng 11 Lemvig, Jakob 11 Paternostro, Victoria 10 Chen, Dirong 10 Feichtinger, Hans Georg 10 Krivoshein, Aleksandr Vladimirovich 10 Li, Song 10 Ward, Joseph Dinneen 9 Buhmann, Martin Dietrich 9 de Boor, Carl 9 Gabardo, Jean-Pierre 9 Hernandez, Eugenio 9 Narcowich, Francis J. 9 Shekhtman, Boris 9 Yang, Shouzhi 8 Cui, Lihong 8 Hangelbroek, Thomas C. 8 Mo, Qun 8 Molter, Ursula Maria 8 Nielsen, Morten 8 Sun, Xingping 8 Unser, Michael A. 8 Wu, Zongmin 8 Yoon, Jungho 8 Zhou, Dingxuan 8 Zhuang, Xiaosheng 7 He, Wenjie 7 Jakobsen, Mads Sielemann 7 Kamyabi-Gol, Rajab Ali 7 Luef, Franz 7 Yang, Jianbin 7 Zhang, Shugong 6 Aldroubi, Akram 6 Barbieri, Davide Francesco 6 Casazza, Peter George 6 Gao, Wenwu 6 Johnson, Michael James 6 Laugesen, Richard Snyder 6 Rossini, Milvia 6 Sauer, Thomas 6 Shen, Lixin 6 Šikić, Hrvoje 6 Zalik, Richard A. 6 Zhang, Jianping 6 Zhang, Zhihua 5 Bozzini, Mira 5 Chan, Raymond Hon-Fu 5 Cohen, Albert 5 Dahmen, Wolfgang A. 5 Dai, Xinrong 5 Ehler, Martin 5 Goodman, Timothy N. T. 5 Heil, Christopher E. 5 Hernández-Medina, Miguel Ángel 5 Jia, HuiFang 5 Jia, Rong-Qing 5 Kaiblinger, Norbert 5 Kounchev, Ognyan Ivanov 5 Lai, Mingjun 5 Mayeli, Azita 5 Mazure, Marie-Laurence 5 Menegatto, Valdir Antonio 5 Micchelli, Charles A. 5 Peron, Ana Paula 5 Pfander, Götz E. 5 Render, Hermann 5 Raisi Tousi, Reihaneh 5 Wilson, Edward N. 5 Xu, Yuesheng 5 Yang, Xiaoyuan 5 Zhang, Qingyue 5 Zhang, Xiaoqun 5 Zhou, Fengying ...and 875 more Authors
all top 5

#### Cited in 205 Serials

 159 Applied and Computational Harmonic Analysis 86 Journal of Approximation Theory 62 The Journal of Fourier Analysis and Applications 47 Journal of Mathematical Analysis and Applications 46 Advances in Computational Mathematics 41 Journal of Computational and Applied Mathematics 39 International Journal of Wavelets, Multiresolution and Information Processing 35 Proceedings of the American Mathematical Society 28 Constructive Approximation 25 Mathematics of Computation 22 Journal of Functional Analysis 21 Transactions of the American Mathematical Society 17 Applied Mathematics and Computation 15 Numerical Functional Analysis and Optimization 12 Linear Algebra and its Applications 11 Computer Aided Geometric Design 11 The Journal of Geometric Analysis 11 Acta Mathematica Sinica. English Series 10 Applicable Analysis 10 Science China. Mathematics 9 Inverse Problems and Imaging 9 SIAM Journal on Imaging Sciences 8 Computers & Mathematics with Applications 7 Journal of Computational Physics 7 Journal of Scientific Computing 7 Numerical Algorithms 7 Journal of Inequalities and Applications 6 Results in Mathematics 6 Acta Applicandae Mathematicae 6 Mediterranean Journal of Mathematics 6 Banach Journal of Mathematical Analysis 5 Bulletin of the Australian Mathematical Society 5 Chaos, Solitons and Fractals 5 Advances in Mathematics 5 Numerische Mathematik 5 SIAM Journal on Mathematical Analysis 5 Mathematical Problems in Engineering 5 Abstract and Applied Analysis 5 Multiscale Modeling & Simulation 4 Israel Journal of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Rocky Mountain Journal of Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 4 Journal of Symbolic Computation 4 Applied Mathematics Letters 4 Applied Mathematical Modelling 4 Applied Mathematics. Series B (English Edition) 4 Complex Analysis and Operator Theory 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Mathematical Physics 3 Archiv der Mathematik 3 Collectanea Mathematica 3 Duke Mathematical Journal 3 Mathematics and Computers in Simulation 3 Monatshefte für Mathematik 3 Circuits, Systems, and Signal Processing 3 Acta Mathematicae Applicatae Sinica. English Series 3 Science in China. Series A 3 Multidimensional Systems and Signal Processing 3 International Journal of Computer Mathematics 3 SIAM Journal on Scientific Computing 3 St. Petersburg Mathematical Journal 3 Foundations of Computational Mathematics 3 Journal of Systems Science and Complexity 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Frontiers of Mathematics in China 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Linear and Multilinear Algebra 2 Calcolo 2 Canadian Mathematical Bulletin 2 Journal of Combinatorial Theory. Series A 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 European Journal of Combinatorics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Complexity 2 Journal of the American Mathematical Society 2 Designs, Codes and Cryptography 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Engineering Analysis with Boundary Elements 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Journal of Applied Mathematics 2 Journal of Algebra and its Applications 2 Analysis and Applications (Singapore) 2 Journal of Function Spaces and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Asian-European Journal of Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Kyoto Journal of Mathematics 2 Symmetry ...and 105 more Serials
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#### Cited in 54 Fields

 718 Harmonic analysis on Euclidean spaces (42-XX) 374 Approximations and expansions (41-XX) 285 Numerical analysis (65-XX) 182 Information and communication theory, circuits (94-XX) 117 Functional analysis (46-XX) 62 Abstract harmonic analysis (43-XX) 55 Operator theory (47-XX) 41 Computer science (68-XX) 30 Commutative algebra (13-XX) 29 Operations research, mathematical programming (90-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 24 Combinatorics (05-XX) 23 Partial differential equations (35-XX) 20 Number theory (11-XX) 18 Topological groups, Lie groups (22-XX) 16 Convex and discrete geometry (52-XX) 15 Difference and functional equations (39-XX) 15 Biology and other natural sciences (92-XX) 11 Algebraic geometry (14-XX) 11 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 9 Integral transforms, operational calculus (44-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Statistics (62-XX) 7 Real functions (26-XX) 7 Potential theory (31-XX) 7 Systems theory; control (93-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 6 Integral equations (45-XX) 5 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 $$K$$-theory (19-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)