## Frazier, Michael W.

Compute Distance To:
 Author ID: frazier.michael-w Published as: Frazier, Michael; Frazier, Michael W.; Frazier, M. more...less
 Documents Indexed: 32 Publications since 1985, including 2 Books 1 Contribution as Editor Co-Authors: 23 Co-Authors with 31 Joint Publications 587 Co-Co-Authors
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### Co-Authors

 2 single-authored 7 Jawerth, Björn David 5 Verbitsky, Igor E. 4 Roudenko, Svetlana 4 Weiss, Guido Leopold 3 Pitt, Leonard 2 Adams, David Randolph 2 Epperson, Jay B. 2 Kumar, Arun M. 2 Torres, Rodolfo H. 1 Angluin, Dana 1 Benedetto, John Joseph 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 Mathematische Annalen 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 The Journal of Geometric Analysis 1 Regional Conference Series in Mathematics 1 Undergraduate Texts in Mathematics
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### Fields

 19 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 7 Operator theory (47-XX) 4 Computer science (68-XX) 3 Partial differential equations (35-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Potential theory (31-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

28 Publications have been cited 1,379 times in 948 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
An introduction to wavelets through linear algebra. Zbl 0968.42021
Frazier, Michael W.
1999
The $$\phi$$-transform and applications to distribution spaces. Zbl 0648.46038
Frazier, Michael; Jawerth, Björn
1988
Wavelets: mathematics and applications. Zbl 0840.00013
1994
Matrix-weighted Besov spaces and conditions of $$A_p$$ type for $$0 < p \leq 1$$. Zbl 1081.42023
Frazier, Michael; Roudenko, Svetlana
2004
Global estimates for kernels of Neumann series and Green’s functions. Zbl 1311.42035
Frazier, Michael; Nazarov, Fedor; Verbitsky, Igor
2014
The T1 theorem for Triebel-Lizorkin spaces. Zbl 0679.46026
Frazier, M.; Han, Y.-S.; Jawerth, B.; Weiss, G.
1989
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
Adams, David R.; Frazier, Michael
1992
An almost orthogonal radial wavelet expansion for radial distributions. Zbl 0887.42031
Epperson, Jay; Frazier, Michael
1995
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
BMO and smooth truncation in Sobolev spaces. Zbl 0679.46025
Adams, David R.; Frazier, Michael
1988
Global Green’s function estimates. Zbl 1197.35085
Frazier, Michael W.; Verbitsky, Igor E.
2010
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. (Solutions positives de l’équation de Schrödinger et l’intégrabilité exponentielle du balayage.) Zbl 1406.42019
Frazier, Michael W.; Verbitsky, Igor E.
2017
Subspaces of $$BMO(R^ n)$$. Zbl 0594.42013
Frazier, Michael
1985
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
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
Existence of the gauge for fractional Laplacian Schrödinger operators. Zbl 1472.35434
Frazier, Michael W.; Verbitsky, Igor E.
2021
Existence of the gauge for fractional Laplacian Schrödinger operators. Zbl 1472.35434
Frazier, Michael W.; Verbitsky, Igor E.
2021
Positive solutions to Schrödinger’s equation and the exponential integrability of the balayage. (Solutions positives de l’équation de Schrödinger et l’intégrabilité exponentielle du 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
An almost orthogonal radial wavelet expansion for radial distributions. Zbl 0887.42031
Epperson, Jay; Frazier, Michael
1995
Wavelets: mathematics and applications. Zbl 0840.00013
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
Adams, David R.; Frazier, Michael
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
Adams, David R.; Frazier, Michael
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 910 Authors

 51 Yang, Dachun 32 Yuan, Wen 29 Sickel, Winfried 22 Han, Yongsheng 19 Bownik, Marcin 19 Sawano, Yoshihiro 18 Petrushev, Pencho P. 15 Chen, Jiecheng 15 Fan, Dashan 15 Li, Ji 15 Nielsen, Morten 14 Ding, Yong 14 Mitrea, Marius 14 Verbitsky, Igor E. 13 Georgiadis, Athanasios G. 13 Lin, Chincheng 12 Dahlke, Stephan 12 Liu, Feng 12 Skrzypczak, Leszek 12 Triebel, Hans 11 Moussai, Madani 11 Torres, Rodolfo H. 10 Duong, Xuan Thinh 10 Liu, Liguang 10 Wang, Kunchuan 10 Zhuo, Ciqiang 9 Bourdaud, Gérard 9 Chen, Yanping 9 Donoho, David Leigh 9 Frazier, Michael W. 9 Haroske, Dorothee D. 9 Kyriazis, George C. 9 Rubin, Boris 9 The Anh Bui 9 Ullrich, Tino 8 Drihem, Douadi 8 Han, Yanchang 8 Hart, Jarod V. 8 Ho, Kwok-Pun 8 Kerkyacharian, Gérard 8 Lee, Ming-Yi 8 Lu, Guozhen 7 Candès, Emmanuel J. 7 Guo, Xunxiang 7 Naibo, Virginia 7 Vera, Daniel J. 6 Christensen, Ole 6 Ding, Wei 6 Führ, Hartmut 6 Grafakos, Loukas 6 Mitrea, Irina 6 Puente, Víctor Lavín 6 Sun, Wenchang 6 Vybíral, Jan 6 Wu, Xinfeng 6 Xiao, Jie 6 Xu, Jingshi 6 Zhou, Yuan 5 Auscher, Pascal 5 Benedetto, John Joseph 5 Bui, Huy-Qui 5 Chang, Der-Chen E. 5 Cleanthous, Galatia 5 Feichtinger, Hans Georg 5 Gröchenig, Karlheinz 5 He, Shaoyong 5 He, Ziyi 5 Li, Baode 5 Mitrea, Dorina 5 Park, Bae Jun 5 Tan, Jian 5 Voigtlaender, Felix 5 Yan, Lixin 5 Zhu, Yueping 4 Almeida, Alexandre 4 Ansorena, José Luis 4 Arias, Marta 4 Balcázar, José Luis 4 Borup, Lasse 4 Daubechies, Ingrid Chantal 4 DeVore, Ronald A. 4 Fornasier, Massimo 4 Garrigós, Gustavo 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 Mayeli, Azita 4 Obiedkov, Sergei A. 4 Romero, José Luis 4 Roudenko, Svetlana 4 Schneider, Cornelia 4 Shukla, Niraj K. 4 Soto, Tomás 4 Steidl, Gabriele 4 Sugimoto, Mitsuru ...and 810 more Authors
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### Cited in 217 Serials

 64 The Journal of Fourier Analysis and Applications 47 Journal of Mathematical Analysis and Applications 47 Journal of Functional Analysis 47 Applied and Computational Harmonic Analysis 38 Mathematische Nachrichten 33 Transactions of the American Mathematical Society 33 The Journal of Geometric Analysis 20 Journal of Approximation Theory 19 Acta Mathematica Sinica. English Series 18 Proceedings of the American Mathematical Society 15 Constructive Approximation 15 Science China. Mathematics 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Mathematische Zeitschrift 11 Monatshefte für Mathematik 11 Theoretical Computer Science 10 Revista Matemática Iberoamericana 10 Journal of Function Spaces and Applications 9 Applicable Analysis 9 Integral Equations and Operator Theory 9 Applied Mathematics. Series B (English Edition) 8 Artificial Intelligence 8 Zeitschrift für Analysis und ihre Anwendungen 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Potential Analysis 7 Journal of Inequalities and Applications 7 Revista Matemática Complutense 6 Advances in Mathematics 6 Mathematische Annalen 6 Numerical Functional Analysis and Optimization 6 Results in Mathematics 6 Frontiers of Mathematics in China 6 Journal of Function Spaces 5 Archive for Rational Mechanics and Analysis 5 Communications on Pure and Applied Mathematics 5 Information Processing Letters 5 Journal d’Analyse Mathématique 5 Rocky Mountain Journal of Mathematics 5 Annales de l’Institut Fourier 5 Collectanea Mathematica 5 Journal of Computer and System Sciences 5 Journal of Differential Equations 5 Information and Computation 5 Forum Mathematicum 5 Machine Learning 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Advances in Computational Mathematics 5 Abstract and Applied Analysis 5 Complex Analysis and Operator Theory 4 Analysis Mathematica 4 Arkiv för Matematik 4 The Annals of Statistics 4 Journal of Complexity 4 Communications in Partial Differential Equations 4 Bulletin des Sciences Mathématiques 4 Communications in Contemporary Mathematics 4 Journal of the Australian Mathematical Society 4 Analysis in Theory and Applications 4 International Journal of Wavelets, Multiresolution and Information Processing 4 Journal of Pseudo-Differential Operators and Applications 4 Analysis and Geometry in Metric Spaces 3 Computers & Mathematics with Applications 3 Discrete Applied Mathematics 3 Dissertationes Mathematicae 3 Duke Mathematical Journal 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Computational and Applied Mathematics 3 Michigan Mathematical Journal 3 Acta Applicandae Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Journal of Evolution Equations 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis and Applications (Singapore) 3 Complex Variables and Elliptic Equations 3 Banach Journal of Mathematical Analysis 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 Publications de l’Institut Mathématique. Nouvelle Série 2 Tohoku Mathematical Journal. Second Series 2 Bulletin of the Korean Mathematical Society 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 Physica D 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 ...and 117 more Serials
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### Cited in 48 Fields

 642 Harmonic analysis on Euclidean spaces (42-XX) 421 Functional analysis (46-XX) 138 Operator theory (47-XX) 137 Partial differential equations (35-XX) 68 Approximations and expansions (41-XX) 66 Computer science (68-XX) 52 Numerical analysis (65-XX) 51 Abstract harmonic analysis (43-XX) 35 Functions of a complex variable (30-XX) 33 Information and communication theory, circuits (94-XX) 25 Potential theory (31-XX) 23 Fluid mechanics (76-XX) 21 Integral transforms, operational calculus (44-XX) 20 Real functions (26-XX) 18 Global analysis, analysis on manifolds (58-XX) 11 Mathematical logic and foundations (03-XX) 11 Topological groups, Lie groups (22-XX) 11 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 9 Special functions (33-XX) 8 Measure and integration (28-XX) 8 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 7 Number theory (11-XX) 7 Biology and other natural sciences (92-XX) 6 Quantum theory (81-XX) 5 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Sequences, series, summability (40-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-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 General algebraic systems (08-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) 1 Operations research, mathematical programming (90-XX)