Kathy D. Merrill

548 total citations
25 papers, 254 citations indexed

About

Kathy D. Merrill is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Kathy D. Merrill has authored 25 papers receiving a total of 254 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Mathematical Physics, 11 papers in Applied Mathematics and 9 papers in Geometry and Topology. Recurrent topics in Kathy D. Merrill's work include Image and Signal Denoising Methods (9 papers), Mathematical Analysis and Transform Methods (8 papers) and Mathematical Dynamics and Fractals (7 papers). Kathy D. Merrill is often cited by papers focused on Image and Signal Denoising Methods (9 papers), Mathematical Analysis and Transform Methods (8 papers) and Mathematical Dynamics and Fractals (7 papers). Kathy D. Merrill collaborates with scholars based in United States, Norway and Australia. Kathy D. Merrill's co-authors include Lawrence W. Baggett, Judith Packer, Palle E. T. Jørgensen, Nadia S. Larsen, Iain Raeburn, Laura E. Clemens, Jeffrey Hoffstein and Arlan Ramsay and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Mathematical Physics and Journal of Functional Analysis.

In The Last Decade

Kathy D. Merrill

25 papers receiving 235 citations

Peers

Kathy D. Merrill

CVPR

Krzysztof Jan Nowak Poland

Alexander Ulanovskii Norway

Filippo De Mari Italy

R.A Zalik United States

Xingde Dai United States

Antonio Galbis Spain

Ziemowit Rzeszotnik Poland

J. N. Pandey Canada

E. R. Negrín Spain

Norbert Kaiblinger Austria

Krzysztof Jan Nowak Poland

Kathy D. Merrill

172 ×1.0

84 ×0.6

CVPR

105 ×1.1

25 ×0.8

83 ×3.2

Citations per year, relative to Kathy D. Merrill Kathy D. Merrill (= 1×) peers Krzysztof Jan Nowak

Countries citing papers authored by Kathy D. Merrill

Since Specialization

Citations

This map shows the geographic impact of Kathy D. Merrill'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 Kathy D. Merrill with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Kathy D. Merrill more than expected).

Fields of papers citing papers by Kathy D. Merrill

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Kathy D. Merrill. 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 Kathy D. Merrill. The network helps show where Kathy D. Merrill may publish in the future.

Co-authorship network of co-authors of Kathy D. Merrill

This figure shows the co-authorship network connecting the top 25 collaborators of Kathy D. Merrill. A scholar is included among the top collaborators of Kathy D. Merrill 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 Kathy D. Merrill. Kathy D. Merrill is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Merrill, Kathy D.. (2018). Generalized Multiresolution Analyses. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations

Baggett, Lawrence W., Kathy D. Merrill, Judith Packer, & Arlan Ramsay. (2012). Probability measures on solenoids corresponding to fractal wavelets. Transactions of the American Mathematical Society. 364(5). 2723–2748. 1 indexed citations

Merrill, Kathy D.. (2012). Simple Wavelet Sets for Matrix Dilations in ℝ². Numerical Functional Analysis and Optimization. 33(7-9). 1112–1125. 2 indexed citations

Baggett, Lawrence W., et al.. (2010). Classification of generalized multiresolution analyses. Journal of Functional Analysis. 258(12). 4210–4228. 4 indexed citations

Baggett, Lawrence W., et al.. (2009). Generalized filters, the low-pass condition, and connections to multiresolution analyses. Journal of Functional Analysis. 257(9). 2760–2779. 5 indexed citations

Packer, Judith, et al.. (2008). Representations, Wavelets, and Frames. Birkhäuser Boston eBooks. 13 indexed citations

Jørgensen, Palle E. T., et al.. (2008). Representations, Wavelets and Frames : A Celebration of the Mathematical Work of Lawrence W. Baggett. Birkhäuser eBooks. 5 indexed citations

Baggett, Lawrence W., Palle E. T. Jørgensen, Kathy D. Merrill, & Judith Packer. (2005). Construction of Parseval wavelets from redundant filter systems. Journal of Mathematical Physics. 46(8). 22 indexed citations

Baggett, Lawrence W., et al.. (2002). The construction of wavelets from generalized conjugate mirror filters in L2(Rn). Applied and Computational Harmonic Analysis. 13(3). 201–223. 20 indexed citations

10.

Hoffstein, Jeffrey, et al.. (1999). Automorphic Forms and Sums of Squares over Function Fields. Journal of Number Theory. 79(2). 301–329. 3 indexed citations

11.

Baggett, Lawrence W., et al.. (1999). Generalized multi-resolution analyses and a construction procedure for all wavelet sets in ?n. Journal of Fourier Analysis and Applications. 5(6). 563–573. 90 indexed citations

12.

Baggett, Lawrence W., et al.. (1998). Cohomology of polynomials under an irrational rotation. Proceedings of the American Mathematical Society. 126(10). 2909–2918. 1 indexed citations

13.

Merrill, Kathy D., et al.. (1996). On quadratic reciprocity over function fields. Pacific Journal of Mathematics. 173(1). 147–150. 7 indexed citations

14.

Baggett, Lawrence W., et al.. (1996). On functions that are trivial cocycles for a set of irrationals. II. Proceedings of the American Mathematical Society. 124(1). 89–93. 8 indexed citations

15.

Clemens, Laura E., et al.. (1995). Continued Fractions and Series. Journal of Number Theory. 54(2). 309–317. 4 indexed citations

16.

Merrill, Kathy D., et al.. (1993). Sums of squares over function fields. Duke Mathematical Journal. 71(3). 4 indexed citations

17.

Baggett, Lawrence W. & Kathy D. Merrill. (1991). On the Cohomological Equivalence of a Class of Functions Under an Irrational Rotation of Bounded Type. Proceedings of the American Mathematical Society. 111(3). 787–787. 2 indexed citations

18.

Merrill, Kathy D., et al.. (1988). Equivalence of Cocycles Under an Irrational Rotation. Proceedings of the American Mathematical Society. 104(4). 1050–1050. 3 indexed citations

19.

Merrill, Kathy D., et al.. (1988). Equivalence of cocycles under an irrational rotation. Proceedings of the American Mathematical Society. 104(4). 1050–1053. 4 indexed citations

20.

Merrill, Kathy D., et al.. (1986). Representations of the Mautner group and cocycles of an irrational rotation.. The Michigan Mathematical Journal. 33(2). 7 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.

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