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## Lawton, Wayne M.

Compute Distance To:
 Author ID: lawton.wayne-m Published as: Lawton, Wayne; Lawton, Wayne M.; Lawton, W.
 Documents Indexed: 48 Publications since 1973
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#### Co-Authors

 33 single-authored 4 Shen, Zuowei 3 Raghavan, Raghu 3 Ranjan, S. R. 2 Micchelli, Charles A. 2 Viswanathan, Raju 1 Dhompongsa, Sompong 1 Dobrowolski, Edward 1 Fupinwong, W. 1 Glowinski, Roland 1 Gong, Jiangbin 1 Lek, Ngee 1 Lenbury, Yongwimon 1 Mouritzen, Anders S. 1 Noakes, Lyle 1 Poston, Timothy 1 Ravachol, Michel 1 Schinzel, Andrzej 1 Tenenbaum, Eric 1 Viswanathan, R. Raju 1 Wang, Jiao 1 Wang, Yaoping 1 Yu, Yi
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#### Serials

 5 Journal of Mathematical Physics 3 Journal of the Science Faculty of Chiang Mai University 3 East-West Journal of Mathematics 1 International Journal of Solids and Structures 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Acta Arithmetica 1 The Arabian Journal for Science and Engineering 1 The Fibonacci Quarterly 1 Journal of Number Theory 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Multidimensional Systems and Signal Processing 1 IEEE Transactions on Signal Processing 1 Numerical Algorithms 1 IEEE Transactions on Acoustics, Speech, and Signal Processing 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Vietnam Journal of Mathematics 1 Matematicheskoe Modelirovanie 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Poincare Journal of Analysis and Applications 1 Journal of Siberian Federal University. Mathematics & Physics
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#### Fields

 17 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 8 Numerical analysis (65-XX) 7 Approximations and expansions (41-XX) 7 Functional analysis (46-XX) 7 Biology and other natural sciences (92-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Topological groups, Lie groups (22-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 400 times in 333 Documents Cited by Year
Necessary and sufficient conditions for constructing orthonormal wavelet bases. Zbl 0757.46012
Lawton, Wayne M.
1991
Wavelet solutions of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Zbl 0799.65109
Glowinski, Roland; Lawton, Wayne; Ravachol, Michel; Tenenbaum, Eric
1990
Tight frames of compactly supported affine wavelets. Zbl 0708.46020
Lawton, Wayne M.
1990
An algorithm for matrix extension and wavelet construction. Zbl 0842.41011
Lawton, W.; Lee, S. L.; Shen, Zuowei
1996
Stability and orthonormality of multivariate refinable functions. Zbl 0872.41003
Lawton, W.; Lee, S. L.; Shen, Zuowei
1997
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
1995
A problem of Boyd concerning geometric means of polynomials. Zbl 0516.12018
Lawton, Wayne M.
1983
Convergence of multidimensional cascade algorithm. Zbl 0890.41005
Lawton, W.; Lee, S. L.; Shen, Zuowei
1998
Applications of complex valued wavelet transforms to subband decomposition. Zbl 0850.94008
Lawton, Wayne
1993
Minimal sequences and the Kadison-Singer problem. Zbl 1209.37011
Lawton, Wayne
2010
Fixed point properties of $$C^{*}$$-algebras. Zbl 1217.46009
Dhompongsa, S.; Fupinwong, W.; Lawton, W.
2011
Infinite convolution products and refinable distributions on Lie groups. Zbl 0940.43002
Lawton, Wayne
2000
A generalization of a theorem of Kronecker. Zbl 0447.12004
Lawton, Wayne M.
1977
The structure of compact connected groups which admit an expansive automorphism. Zbl 0273.54028
Lawton, Wayne
1973
Construction of conjugate quadrature filters with specified zeros. Zbl 0902.65008
Lawton, Wayne; Micchelli, Charles A.
1997
On a problem of Lehmer. Zbl 0519.12012
Dobrowolski, E.; Lawton, W.; Schinzel, Andrzej
1983
Multiresolution properties of the wavelet Galerkin operator. Zbl 0733.46004
Lawton, Wayne M.
1991
Hermite interpolation in loop groups and conjugate quadrature filter approximation. Zbl 1079.22019
Lawton, Wayne M.
2004
Heights of algebraic numbers and Szegö’s theorem. Zbl 0306.12002
Lawton, Wayne
1975
Multiresolution analyses on quasilattices. Zbl 1350.11094
Lawton, Wayne M.
2015
A new polar Fourier transform for computer-aided tomography and spotlight synthetic aperture radar. Zbl 0709.68567
Lawton, Wayne
1988
Asymptotic properties of roots of polynomials - preliminary report. Zbl 0445.30005
Lawton, Wayne
1977
Bézout identities with inequality constraints. Zbl 0971.65124
Lawton, Wayne M.; Micchelli, Charles A.
2000
The Feichtinger conjecture for exponentials. Zbl 1413.28014
Lawton, Wayne
2011
Proof of the hyperplane zeros conjecture of Lagarias and Wang. Zbl 1152.32005
Lawton, Wayne
2008
Computing the inertia operator of a rigid body. Zbl 1045.70006
Lawton, Wayne; Noakes, Lyle
2001
Multiresolution analyses on quasilattices. Zbl 1350.11094
Lawton, Wayne M.
2015
Fixed point properties of $$C^{*}$$-algebras. Zbl 1217.46009
Dhompongsa, S.; Fupinwong, W.; Lawton, W.
2011
The Feichtinger conjecture for exponentials. Zbl 1413.28014
Lawton, Wayne
2011
Minimal sequences and the Kadison-Singer problem. Zbl 1209.37011
Lawton, Wayne
2010
Proof of the hyperplane zeros conjecture of Lagarias and Wang. Zbl 1152.32005
Lawton, Wayne
2008
Hermite interpolation in loop groups and conjugate quadrature filter approximation. Zbl 1079.22019
Lawton, Wayne M.
2004
Computing the inertia operator of a rigid body. Zbl 1045.70006
Lawton, Wayne; Noakes, Lyle
2001
Infinite convolution products and refinable distributions on Lie groups. Zbl 0940.43002
Lawton, Wayne
2000
Bézout identities with inequality constraints. Zbl 0971.65124
Lawton, Wayne M.; Micchelli, Charles A.
2000
Convergence of multidimensional cascade algorithm. Zbl 0890.41005
Lawton, W.; Lee, S. L.; Shen, Zuowei
1998
Stability and orthonormality of multivariate refinable functions. Zbl 0872.41003
Lawton, W.; Lee, S. L.; Shen, Zuowei
1997
Construction of conjugate quadrature filters with specified zeros. Zbl 0902.65008
Lawton, Wayne; Micchelli, Charles A.
1997
An algorithm for matrix extension and wavelet construction. Zbl 0842.41011
Lawton, W.; Lee, S. L.; Shen, Zuowei
1996
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
1995
Applications of complex valued wavelet transforms to subband decomposition. Zbl 0850.94008
Lawton, Wayne
1993
Necessary and sufficient conditions for constructing orthonormal wavelet bases. Zbl 0757.46012
Lawton, Wayne M.
1991
Multiresolution properties of the wavelet Galerkin operator. Zbl 0733.46004
Lawton, Wayne M.
1991
Wavelet solutions of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Zbl 0799.65109
Glowinski, Roland; Lawton, Wayne; Ravachol, Michel; Tenenbaum, Eric
1990
Tight frames of compactly supported affine wavelets. Zbl 0708.46020
Lawton, Wayne M.
1990
A new polar Fourier transform for computer-aided tomography and spotlight synthetic aperture radar. Zbl 0709.68567
Lawton, Wayne
1988
A problem of Boyd concerning geometric means of polynomials. Zbl 0516.12018
Lawton, Wayne M.
1983
On a problem of Lehmer. Zbl 0519.12012
Dobrowolski, E.; Lawton, W.; Schinzel, Andrzej
1983
A generalization of a theorem of Kronecker. Zbl 0447.12004
Lawton, Wayne M.
1977
Asymptotic properties of roots of polynomials - preliminary report. Zbl 0445.30005
Lawton, Wayne
1977
Heights of algebraic numbers and Szegö’s theorem. Zbl 0306.12002
Lawton, Wayne
1975
The structure of compact connected groups which admit an expansive automorphism. Zbl 0273.54028
Lawton, Wayne
1973
all top 5

#### Cited by 391 Authors

 14 Han, Bin 14 Shen, Zuowei 8 Chui, Charles Kam-tai 8 Lawton, Wayne M. 8 Li, Song 7 Bi, Ning 7 Dutkay, Dorin Ervin 7 Jørgensen, Palle E. T. 7 Sun, Qiyu 6 Karoui, Abderrazek 5 Bownik, Marcin 5 Wells, Raymond O. jun. 4 Cui, Lihong 4 Huang, Daren 4 Jiang, Qingtang 4 Ko, Jeonghwan 4 Kurdila, Andrew J. 4 Mehra, Mani 4 Protasov, Vladimir Yu. 4 Ron, Amos 4 Shen, Youjian 4 Wang, Yang 4 Zhang, Zeyin 4 Zhuang, Xiaosheng 3 Bao, Zheng 3 Berg, Lothar 3 Boyd, David William 3 Chen, Dirong 3 Cheng, Zhengxing 3 Dai, Xinrong 3 El-Gamel, Mohamed 3 Everest, Graham Robert 3 Farkov, Yuriĭ Anatol’evich 3 Finěk, Václav 3 Gómez-Cubillo, Fernando 3 He, Wenjie 3 Jia, Rong-Qing 3 Li, Yunzhang 3 Lin, Wei 3 Lind, Douglas A. 3 Londner, Itay 3 Merrill, Kathy D. 3 Mo, Qun 3 Packer, Judith A. 3 Plonka, Gerlind 3 Priyadarshi, Gopal 3 Shen, Lixin 3 Shingel, Tatiana 3 Ward, Thomas B. 3 Xue, Yanmei 3 Zhang, Jiankang 3 Zhang, Qingyue 3 Zhou, Dingxuan 2 Ashino, Ryuichi 2 Averbuch, Amir Z. 2 Ayache, Antoine 2 Baggett, Lawrence Wasson 2 Cai, Jian-Feng 2 Casazza, Peter George 2 Černá, Dana 2 Chambert-Loir, Antoine 2 Champanerkar, Abhijit 2 Chan, Raymond Hon-Fu 2 Chen, Hanlin 2 Chen, Wen 2 Dahmen, Wolfgang A. 2 Dai, Xingde 2 Daubechies, Ingrid Chantal 2 De Villiers, Johan Marthinus 2 Dobrowolski, Edward 2 Dong, Bin 2 Dubickas, Artūras 2 Goh, Say Song 2 Goodman, Timothy N. T. 2 Guan, Yujing 2 Gundy, Richard F. 2 He, Jianxun 2 Huang, Yongdong 2 Ji, Hui 2 Jonsson, Adam Lars 2 Kofman, Ilya 2 Krivoshein, Aleksandr Vladimirovich 2 Kumar, Bayya Venkatesulu Rathish 2 Lagarias, Jeffrey C. 2 Lalín, Matilde N. 2 Lian, Jian’ao 2 Liu, Yu 2 Long, Ruilin 2 Lück, Wolfgang 2 Maesumi, Mohsen 2 Marcus, Adam W. 2 Mignotte, Maurice 2 Olevskii, Alexander Moiseevich 2 Oswald, Peter 2 Pan, Yali 2 Pilant, Michael S. 2 Quraishi, S. M. 2 Riemenschneider, Sherman D. 2 Schmidt, Klaus 2 Smyth, Christopher J. ...and 291 more Authors
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#### Cited in 112 Serials

 41 Applied and Computational Harmonic Analysis 18 International Journal of Wavelets, Multiresolution and Information Processing 15 Applied Mathematics and Computation 14 Journal of Approximation Theory 13 The Journal of Fourier Analysis and Applications 12 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 9 Journal of Computational and Applied Mathematics 7 Mathematics of Computation 6 Applicable Analysis 6 Journal of Functional Analysis 6 Transactions of the American Mathematical Society 6 Linear Algebra and its Applications 6 Advances in Computational Mathematics 5 Computers & Mathematics with Applications 5 Journal of Mathematical Physics 5 Journal of Number Theory 5 Applied Numerical Mathematics 4 Computational Mechanics 4 Applied Mathematics. Series B (English Edition) 4 Central European Journal of Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Numerical Functional Analysis and Optimization 3 Constructive Approximation 3 Applied Mathematics Letters 3 Experimental Mathematics 3 Science in China. Series E 3 Algebraic & Geometric Topology 2 Israel Journal of Mathematics 2 Journal of Geometry and Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 Multidimensional Systems and Signal Processing 2 Communications in Numerical Methods in Engineering 2 St. Petersburg Mathematical Journal 2 Documenta Mathematica 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 International Journal of Number Theory 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Lithuanian Mathematical Journal 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 BIT 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 RAIRO. Analyse Numérique 1 Results in Mathematics 1 Topology and its Applications 1 Circuits, Systems, and Signal Processing 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Science in China. Series A 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Computational Statistics and Data Analysis 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Electronic Research Announcements of the American Mathematical Society 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 12 more Serials
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#### Cited in 45 Fields

 207 Harmonic analysis on Euclidean spaces (42-XX) 118 Numerical analysis (65-XX) 53 Approximations and expansions (41-XX) 34 Information and communication theory, circuits (94-XX) 33 Number theory (11-XX) 30 Functional analysis (46-XX) 27 Partial differential equations (35-XX) 16 Operator theory (47-XX) 14 Difference and functional equations (39-XX) 13 Topological groups, Lie groups (22-XX) 12 Measure and integration (28-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Abstract harmonic analysis (43-XX) 11 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Mechanics of deformable solids (74-XX) 6 Real functions (26-XX) 6 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 5 Probability theory and stochastic processes (60-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)