Michael Frazier

4.2k total citations · 2 hit papers
34 papers, 2.4k citations indexed

About

Michael Frazier is a scholar working on Applied Mathematics, Computer Vision and Pattern Recognition and Mathematical Physics. According to data from OpenAlex, Michael Frazier has authored 34 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 11 papers in Computer Vision and Pattern Recognition and 7 papers in Mathematical Physics. Recurrent topics in Michael Frazier's work include Advanced Harmonic Analysis Research (13 papers), Mathematical Analysis and Transform Methods (12 papers) and Image and Signal Denoising Methods (11 papers). Michael Frazier is often cited by papers focused on Advanced Harmonic Analysis Research (13 papers), Mathematical Analysis and Transform Methods (12 papers) and Image and Signal Denoising Methods (11 papers). Michael Frazier collaborates with scholars based in United States, France and Canada. Michael Frazier's co-authors include Björn Jawerth, Guido Weiss, John J. Benedetto, Bruno Torrésani, Eric M. Knight, Tom M Conrad, Robert Landick, Bernhard Ø. Palsson, Andrew R. Joyce and Byung‐Kwan Cho and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physics Today and IEEE Transactions on Signal Processing.

In The Last Decade

Michael Frazier

34 papers receiving 2.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A discrete transform and decompositions of distribution spaces

1990 662 citations Michael Frazier, Björn Jawerth Journal of Functional Analysis profile →
Littlewood-Paley Theory and the Study of Function Spaces

1991 534 citations Michael Frazier, Björn Jawerth et al. profile →

Peers

Michael Frazier

AM

MP

CVPR

CM

MB

Stephan Dahlke Germany

Ka‐Sing Lau Hong Kong

José M. Mazón Spain

Gustaf Gripenberg Finland

Nicola Gigli Italy

David Applebaum United Kingdom

Elena Braverman Canada

Andrei Agrachev Italy

Gilbert G. Walter United States

Stephan Dahlke Germany

Michael Frazier

668 ×0.4

AM

296 ×0.3

MP

587 ×1.3

CVPR

461 ×2.9

CM

41 ×0.3

MB

Citations per year, relative to Michael Frazier Michael Frazier (= 1×) peers Stephan Dahlke

Countries citing papers authored by Michael Frazier

Since Specialization

Citations

This map shows the geographic impact of Michael Frazier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Frazier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Frazier more than expected).

Fields of papers citing papers by Michael Frazier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Frazier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Frazier. The network helps show where Michael Frazier may publish in the future.

Co-authorship network of co-authors of Michael Frazier

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Frazier. A scholar is included among the top collaborators of Michael Frazier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Frazier. Michael Frazier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Frazier, Michael. (2024). Decomposition and Traces of Weighted Mixed-Norm Besov Spaces. 3(4). 1320–1359. 1 indexed citations

2.

Frazier, Michael & Igor E. Verbitsky. (2017). Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage. Annales de l’institut Fourier. 67(4). 1393–1425. 2 indexed citations

3.

Frazier, Michael, et al.. (2015). Wh-filler-gap dependency formation guides reflexive antecedent search. Frontiers in Psychology. 6. 1504–1504. 11 indexed citations

4.

Frazier, Michael, Fëdor Nazarov, & Igor E. Verbitsky. (2014). Global estimates for kernels of Neumann series and Green's functions. Journal of the London Mathematical Society. 90(3). 903–918. 7 indexed citations

5.

Frazier, Michael, et al.. (2012). Pseudo Noun Phrase Coordination. 142–152. 6 indexed citations

6.

Geng, Weihua, et al.. (2005). The shift-invariant discrete wavelet transform and application to speech waveform analysis. The Journal of the Acoustical Society of America. 117(4). 2122–2133. 8 indexed citations

7.

Frazier, Michael & Svetlana Roudenko. (2004). Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1. Indiana University Mathematics Journal. 53(5). 1225–1254. 33 indexed citations

8.

Frazier, Michael, et al.. (2001). Bessel Wavelets and the Galerkin Analysis of the Bessel Operator. Journal of Mathematical Analysis and Applications. 261(2). 665–691. 8 indexed citations

9.

Frazier, Michael. (2000). An Introduction to Wavelets Through Linear Algebra. Undergraduate texts in mathematics. 120 indexed citations

10.

Frazier, Michael, et al.. (1996). Polar wavelets and associated Littlewood-Paley theory. 3 indexed citations

11.

Frazier, Michael. (1995). A Friendly Guide to Wavelets (Gerald Kaiser). SIAM Review. 37(4). 624–626. 2 indexed citations

12.

Frazier, Michael. (1994). Book Review: Theory of function spaces\/} II. Bulletin of the American Mathematical Society. 31(1). 119–126. 2 indexed citations

13.

Frazier, Michael, et al.. (1994). An Almost Orthogonal Radial Wavelet Expansion for Radial Distributions.. 1(3). 311–354. 13 indexed citations

14.

Frazier, Michael, et al.. (1994). Singular Value Estimates for Certain Convolution-Product Operators. Journal of Fourier Analysis and Applications. 1(3). 311–353. 10 indexed citations

15.

Adams, David R. & Michael Frazier. (1992). Composition operators on potential spaces. Proceedings of the American Mathematical Society. 114(1). 155–165. 26 indexed citations

16.

Frazier, Michael, Björn Jawerth, & Guido Weiss. (1991). Littlewood-Paley Theory and the Study of Function Spaces. 534 indexed citations breakdown →

17.

Frazier, Michael & Björn Jawerth. (1990). A discrete transform and decompositions of distribution spaces. Journal of Functional Analysis. 93(1). 34–170. 662 indexed citations breakdown →

18.

Frazier, Michael. (1990). The Discrete Orthonormal Wavelet Transform: An Introduction. Open Scholarship Institutional Repository (Washington University in St. Louis). 2 indexed citations

19.

Adams, David R. & Michael Frazier. (1988). BMO and smooth truncation in Sobolev spaces. Studia Mathematica. 89(3). 241–260. 9 indexed citations

20.

Frazier, Michael. (1985). Subspaces of ${\rm BMO}({\bf R}\sp n)$. Transactions of the American Mathematical Society. 290(1). 101–101. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact