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## Frazier, Michael W.

Compute Distance To:
 Author ID: frazier.michael-w Published as: Frazier, M.; Frazier, Michael; Frazier, Michael W.
 Documents Indexed: 31 Publications since 1985, including 3 Books
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#### Co-Authors

 2 single-authored 7 Jawerth, Björn David 4 Verbitsky, Igor E. 4 Weiss, Guido L. 3 Pitt, Leonard 3 Roudenko, Svetlana 2 Adams, David Randolph 2 Epperson, Jay B. 2 Kumar, Arun M. 2 Torres, Rodolfo H. 1 Angluin, Dana 1 Benedetto, John J. 1 Cwikel, Michael 1 Fuhrmann, Daniel R. 1 Garrigós, Gustavo 1 Goldman, Sally A. 1 Han, Yongsheng 1 Jawerth, Louise M. 1 Milman, Mario Marcos 1 Mishra, Nina 1 Nazarov, Fedor L. 1 Page, C. David jun. 1 Wang, Kunchuan 1 Zhang, Shangqian
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#### Serials

 2 Indiana University Mathematics Journal 2 Machine Learning 2 The Journal of Fourier Analysis and Applications 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Dissertationes Mathematicae 1 Journal of Computer and System Sciences 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 IEEE Transactions on Signal Processing 1 Regional Conference Series in Mathematics 1 Undergraduate Texts in Mathematics
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#### Fields

 18 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 6 Operator theory (47-XX) 4 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 1,311 times in 892 Documents Cited by Year
A discrete transform and decompositions of distribution spaces. Zbl 0716.46031
Frazier, Michael; Jawerth, Björn
1990
Littlewood-Paley theory and the study of function spaces. Zbl 0757.42006
Frazier, Michael; Jawerth, Björn; Weiss, Guido
1991
Decomposition of Besov spaces. Zbl 0551.46018
Frazier, Michael; Jawerth, Björn
1985
Learning conjunctions of Horn clauses. Zbl 0766.68107
Angluin, Dana; Frazier, Michael; Pitt, Leonard
1992
A characterization of functions that generate wavelet and related expansion. Zbl 0896.42022
Frazier, Michael; Garrigós, Gustavo; Wang, Kunchuan; Weiss, Guido
1997
The boundedness of Calderón-Zygmund operators on the spaces $$\dot F_ p^{\alpha,q}$$. Zbl 0694.42023
Frazier, M.; Torres, R.; Weiss, G.
1988
The $$\phi$$-transform and applications to distribution spaces. Zbl 0648.46038
Frazier, Michael; Jawerth, Björn
1988
An introduction to wavelets through linear algebra. Zbl 0968.42021
Frazier, Michael W.
1999
Wavelets: mathematics and applications. Zbl 0840.00013
Benedetto, John J. (ed.); Frazier, Michael W. (ed.)
1994
The T1 theorem for Triebel-Lizorkin spaces. Zbl 0679.46026
Frazier, M.; Han, Y.-S.; Jawerth, B.; Weiss, G.
1989
Global estimates for kernels of Neumann series and Green’s functions. Zbl 1311.42035
Frazier, Michael; Nazarov, Fedor; Verbitsky, Igor
2014
Matrix-weighted Besov spaces and conditions of $$A_p$$ type for $$0 < p \leq 1$$. Zbl 1081.42023
Frazier, Michael; Roudenko, Svetlana
2004
Applications of the $$\varphi$$ and wavelet transforms to the theory of function spaces. Zbl 0827.46036
Frazier, Michael; Jawerth, Björn
1992
Classic learning. Zbl 0869.68090
Frazier, Michael; Pitt, Leonard
1996
Epperson, Jay; Frazier, Michael
1995
Composition operators on potential spaces. Zbl 0753.47045
1992
Learning from a consistently ignorant teacher. Zbl 0858.68078
Frazier, Michael; Goldman, Sally; Mishra, Nina; Pitt, Leonard
1996
Global Green’s function estimates. Zbl 1197.35085
Frazier, Michael W.; Verbitsky, Igor E.
2010
BMO and smooth truncation in Sobolev spaces. Zbl 0679.46025
1988
The sampling theorem, $$\varphi$$-transform, and Shannon wavelets for $$\mathbb{R}$$, $$\mathbb{Z}$$, $$\mathbb{T}$$, and $$\mathbb{Z}_ N$$. Zbl 0882.42027
Frazier, Michael; Torres, Rodolfo
1994
Bessel wavelets and the Galerkin analysis of the Bessel operator. Zbl 1002.65084
Frazier, Michael; Zhang, Shangqian
2001
Positive solutions to Schrödinger’s equation and the exponential integrability of the balayage. Zbl 1406.42019
Frazier, Michael W.; Verbitsky, Igor E.
2017
Prefix grammars: An alternative characterization of the regular languages. Zbl 0813.68125
Frazier, Michael; Page, C. David jun.
1994
Subspaces of $$BMO(R^ n)$$. Zbl 0594.42013
Frazier, Michael
1985
Traces and extensions of matrix-weighted Besov spaces. Zbl 1243.42036
Frazier, Michael; Roudenko, Svetlana
2008
Polar wavelets and associated Littlewood-Paley theory. Zbl 0861.42008
Epperson, Jay; Frazier, Michael
1996
An introduction to the orthonormal wavelet transform on discrete sets. Zbl 0882.42024
Frazier, Michael W.; Kumar, Arun
1994
Positive solutions to Schrödinger’s equation and the exponential integrability of the balayage. Zbl 1406.42019
Frazier, Michael W.; Verbitsky, Igor E.
2017
Global estimates for kernels of Neumann series and Green’s functions. Zbl 1311.42035
Frazier, Michael; Nazarov, Fedor; Verbitsky, Igor
2014
Global Green’s function estimates. Zbl 1197.35085
Frazier, Michael W.; Verbitsky, Igor E.
2010
Traces and extensions of matrix-weighted Besov spaces. Zbl 1243.42036
Frazier, Michael; Roudenko, Svetlana
2008
Matrix-weighted Besov spaces and conditions of $$A_p$$ type for $$0 < p \leq 1$$. Zbl 1081.42023
Frazier, Michael; Roudenko, Svetlana
2004
Bessel wavelets and the Galerkin analysis of the Bessel operator. Zbl 1002.65084
Frazier, Michael; Zhang, Shangqian
2001
An introduction to wavelets through linear algebra. Zbl 0968.42021
Frazier, Michael W.
1999
A characterization of functions that generate wavelet and related expansion. Zbl 0896.42022
Frazier, Michael; Garrigós, Gustavo; Wang, Kunchuan; Weiss, Guido
1997
Classic learning. Zbl 0869.68090
Frazier, Michael; Pitt, Leonard
1996
Learning from a consistently ignorant teacher. Zbl 0858.68078
Frazier, Michael; Goldman, Sally; Mishra, Nina; Pitt, Leonard
1996
Polar wavelets and associated Littlewood-Paley theory. Zbl 0861.42008
Epperson, Jay; Frazier, Michael
1996
Epperson, Jay; Frazier, Michael
1995
Wavelets: mathematics and applications. Zbl 0840.00013
Benedetto, John J. (ed.); Frazier, Michael W. (ed.)
1994
The sampling theorem, $$\varphi$$-transform, and Shannon wavelets for $$\mathbb{R}$$, $$\mathbb{Z}$$, $$\mathbb{T}$$, and $$\mathbb{Z}_ N$$. Zbl 0882.42027
Frazier, Michael; Torres, Rodolfo
1994
Prefix grammars: An alternative characterization of the regular languages. Zbl 0813.68125
Frazier, Michael; Page, C. David jun.
1994
An introduction to the orthonormal wavelet transform on discrete sets. Zbl 0882.42024
Frazier, Michael W.; Kumar, Arun
1994
Learning conjunctions of Horn clauses. Zbl 0766.68107
Angluin, Dana; Frazier, Michael; Pitt, Leonard
1992
Applications of the $$\varphi$$ and wavelet transforms to the theory of function spaces. Zbl 0827.46036
Frazier, Michael; Jawerth, Björn
1992
Composition operators on potential spaces. Zbl 0753.47045
1992
Littlewood-Paley theory and the study of function spaces. Zbl 0757.42006
Frazier, Michael; Jawerth, Björn; Weiss, Guido
1991
A discrete transform and decompositions of distribution spaces. Zbl 0716.46031
Frazier, Michael; Jawerth, Björn
1990
The T1 theorem for Triebel-Lizorkin spaces. Zbl 0679.46026
Frazier, M.; Han, Y.-S.; Jawerth, B.; Weiss, G.
1989
The boundedness of Calderón-Zygmund operators on the spaces $$\dot F_ p^{\alpha,q}$$. Zbl 0694.42023
Frazier, M.; Torres, R.; Weiss, G.
1988
The $$\phi$$-transform and applications to distribution spaces. Zbl 0648.46038
Frazier, Michael; Jawerth, Björn
1988
BMO and smooth truncation in Sobolev spaces. Zbl 0679.46025
1988
Decomposition of Besov spaces. Zbl 0551.46018
Frazier, Michael; Jawerth, Björn
1985
Subspaces of $$BMO(R^ n)$$. Zbl 0594.42013
Frazier, Michael
1985
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#### Cited by 896 Authors

 48 Yang, Dachun 30 Yuan, Wen 27 Sickel, Winfried 19 Sawano, Yoshihiro 18 Bownik, Marcin 18 Petrushev, Pencho P. 16 Han, Yongsheng 16 Nielsen, Morten 14 Ding, Yong 14 Mitrea, Marius 13 Dahlke, Stephan 13 Fan, Dashan 13 Li, Ji 13 Lin, Chincheng 12 Georgiadis, Athanasios G. 12 Skrzypczak, Leszek 12 Triebel, Hans 12 Verbitsky, Igor E. 11 Chen, Jiecheng 11 Liu, Feng 11 Moussai, Madani 10 Duong, Xuan Thinh 10 Torres, Rodolfo H. 10 Wang, Kunchuan 9 Bourdaud, Gérard 9 Bui, Huy-Qui 9 Bui, The Anh 9 Chen, Yanping 9 Donoho, David Leigh 9 Haroske, Dorothee D. 9 Kerkyacharian, Gérard 9 Liu, Liguang 9 Rubin, Boris 9 Zhuo, Ciqiang 8 Drihem, Douadi 8 Hart, Jarod V. 8 Ho, Kwok-Pun 8 Kyriazis, George C. 8 Lee, Ming-Yi 8 Lu, Guozhen 7 Candès, Emmanuel J. 7 Frazier, Michael W. 7 Guo, Xunxiang 7 Han, Yanchang 7 Ullrich, Tino 6 Feichtinger, Hans Georg 6 Gröchenig, Karlheinz 6 Mitrea, Irina 6 Naibo, Virginia 6 Puente, Víctor Lavín 6 Vera, Daniel J. 6 Vybíral, Jan 6 Xiao, Jie 6 Xu, Jingshi 6 Zhou, Yuan 5 Auscher, Pascal 5 Benedetto, John J. 5 Cleanthous, Galatia 5 Führ, Hartmut 5 Grafakos, Loukas 5 Li, Baode 5 Mitrea, Dorina 5 Sun, Wenchang 5 Wilson, James Michael 5 Yan, Lixin 4 Almeida, Alexandre 4 Arias, Marta 4 Balcázar, José Luis 4 Bényi, Árpád 4 Borup, Lasse 4 Christensen, Ole 4 Daubechies, Ingrid Chantal 4 DeVore, Ronald A. 4 Ding, Wei 4 Fornasier, Massimo 4 Geller, Daryl 4 Grohs, Philipp 4 Hernandez, Eugenio 4 Jawerth, Björn David 4 Johnsen, Jon 4 Koskela, Pekka 4 Ky, Luong Dang 4 Laugesen, Richard Snyder 4 Makino, Kazuhisa 4 Mayeli, Azita 4 Picard, Dominique B. 4 Schneider, Cornelia 4 Shukla, Niraj K. 4 Soto, Tomás 4 Sugimoto, Mitsuru 4 Tan, Jian 4 Teschke, Gerd 4 Tomita, Naohito 4 Turán, Gyorgy 4 Weimar, Markus 4 Xu, Yuan 4 Yabuta, Kôzô 4 Zhai, Zhichun 4 Zhu, Yueping 3 Ansorena, José Luis ...and 796 more Authors
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#### Cited in 208 Serials

 60 The Journal of Fourier Analysis and Applications 50 Journal of Mathematical Analysis and Applications 48 Journal of Functional Analysis 46 Applied and Computational Harmonic Analysis 38 Mathematische Nachrichten 32 Transactions of the American Mathematical Society 24 The Journal of Geometric Analysis 20 Journal of Approximation Theory 18 Acta Mathematica Sinica. English Series 16 Proceedings of the American Mathematical Society 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Science China. Mathematics 14 Constructive Approximation 11 Mathematische Zeitschrift 11 Monatshefte für Mathematik 11 Theoretical Computer Science 10 Journal of Function Spaces and Applications 9 Applicable Analysis 9 Integral Equations and Operator Theory 9 Revista Matemática Iberoamericana 9 Applied Mathematics. Series B (English Edition) 8 Artificial Intelligence 8 Zeitschrift für Analysis und ihre Anwendungen 7 Revista Matemática Complutense 6 Information Processing Letters 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Numerical Functional Analysis and Optimization 6 Information and Computation 5 Archive for Rational Mechanics and Analysis 5 Communications on Pure and Applied Mathematics 5 Advances in Mathematics 5 Annales de l’Institut Fourier 5 Collectanea Mathematica 5 Journal of Computer and System Sciences 5 Journal of Differential Equations 5 Mathematische Annalen 5 Results in Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Potential Analysis 5 Advances in Computational Mathematics 5 Abstract and Applied Analysis 5 International Journal of Wavelets, Multiresolution and Information Processing 4 Analysis Mathematica 4 Discrete Applied Mathematics 4 Journal d’Analyse Mathématique 4 Rocky Mountain Journal of Mathematics 4 Arkiv för Matematik 4 The Annals of Statistics 4 Journal of Complexity 4 Forum Mathematicum 4 Communications in Partial Differential Equations 4 Journal of Inequalities and Applications 4 Communications in Contemporary Mathematics 4 Journal of the Australian Mathematical Society 4 Complex Analysis and Operator Theory 4 Frontiers of Mathematics in China 4 Journal of Function Spaces 3 Computers & Mathematics with Applications 3 Duke Mathematical Journal 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Computational and Applied Mathematics 3 Michigan Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Physica D 3 Machine Learning 3 Bulletin des Sciences Mathématiques 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Journal of Evolution Equations 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis in Theory and Applications 3 Analysis and Applications (Singapore) 3 Complex Variables and Elliptic Equations 3 Banach Journal of Mathematical Analysis 3 Journal of Pseudo-Differential Operators and Applications 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Studia Mathematica 2 Mathematics of Computation 2 Archiv der Mathematik 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Statistics & Probability Letters 2 Circuits, Systems, and Signal Processing 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Acta Mathematica Hungarica 2 Acta Applicandae Mathematicae 2 New Generation Computing 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Numerical Algorithms 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics ...and 108 more Serials
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#### Cited in 46 Fields

 599 Harmonic analysis on Euclidean spaces (42-XX) 388 Functional analysis (46-XX) 133 Partial differential equations (35-XX) 128 Operator theory (47-XX) 65 Computer science (68-XX) 64 Approximations and expansions (41-XX) 51 Numerical analysis (65-XX) 45 Abstract harmonic analysis (43-XX) 35 Information and communication theory, circuits (94-XX) 30 Functions of a complex variable (30-XX) 25 Potential theory (31-XX) 22 Fluid mechanics (76-XX) 17 Real functions (26-XX) 17 Integral transforms, operational calculus (44-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Statistics (62-XX) 12 Mathematical logic and foundations (03-XX) 12 Probability theory and stochastic processes (60-XX) 11 Topological groups, Lie groups (22-XX) 10 Measure and integration (28-XX) 9 Ordinary differential equations (34-XX) 8 Special functions (33-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 6 Number theory (11-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 5 Combinatorics (05-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)