Publications

Here is the link to my GoogleScholar page. 

Papers submitted

1.  (with Kevin Hughes and Arie Israel) On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, II. E-print, arXiv:2403.13092

2.  (with Alex Iosevich) Uncertainty Principles on Finite Abelian Groups, Restriction Theory, and Applications to Sparse Signal Recovery. E-print, arXiv:2311.04331. 

3. (with Thomas Fallon, Gergely Kiss, and Gábor Somlai) Spectral Tile Direction in the Group Z_{p^2}x Z_{q^2}xZ_r.  E-print, arXiv:2308.16277.

4. (with Alex Iosevich) Approximate orthogonality, Bourgain's pinned distance theorem and exponential frames. E-print, arXiv:2301.09144. 

5. (with Christina Frederik) A characterization of Gabor Riesz bases with separable time-frequency shifts. E-print. arXiv:2202.06343

Journal Publications 

1. (with Arie Israel) On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, Applied and Computational Harmonic Analysis, Volume 70, 2024, E-print, arXiv:2301.09616. 

2. (with Alex Iosevich) On complete and incomplete exponential systems, accepted for publication in the Proceeding of American Mathematical Society, 2022. 

3. (with L. Betti, I. Chio, J. Fleischman, Et al.) Fractal dimension, approximation and data sets. to appear in CANT 2023 Conference Proceedings Springer Volume. E-print. arXiv:2209.12079

4. (with Christina Frederik) Frame spectral pairs and exponential bases,  Journal of Fourier Analysis and Applications , 27, Article number: 75 (2021) 

5. Azita Mayeli, Non-convex optimization via strongly convex majoirziation-minimization, Canadian Mathematical Bulletin, 63(4), 726-737, 2020. 

6. (with A. Iosevich, M. Kolountzakis, Yu Lyubarskii, J. Pakianathan) On Gabor orthonormal bases over finite prime fields,  London Math. Soc., Vol. 53, Issue 2,  April 2021. https://doi.org/10.1112/blms.12426

7. (with Thomas Fallon and Dominick Villano) The Fuglede Conjecture holds in \(\F_p^3\) for p=5,7, to appear in Proceedings of the American Mathematical Society

8. (with Chun-Kit Lai) Non-separable lattice, Gabor orthonormal bases and tiling, Journal of Fourier Analysis and Applications, Volume 25, Issue 6, pp 3075--3103, 2019.

9. (with D.Barbier and E. Hernandez) Calder\'on-type inequalities for affine frames,  Applied and Computational Harmonic Analysis. 2021 Jan 1;50:326-52. 

10. Riesz wavelets, tiling and spectral sets in LCA groups, Complex Anal. Oper. Theory 13 (2019), no. 3, 1177–1195. 

11. (with Alex Iosevich and Chun-Kit Lai) Tight wavelet frame sets on finite vector spaces, Appl. Comput. Harmon. Anal. 46 (2019), no. 1,192–205. 

12. (with Alex Iosevich) Gabor orthogonal bases and convexity, Discrete Anal. 2018, Paper No. 19, 11 pp. 

13. (with Alex Iosevich, Allen Liu and Jonathan Pakianathan) On an analog of Nyquist-Shannon type theorems in vector spaces over finite fields, Bull. Hellenic Math. Soc. 62 (2018), 80–93

14. Identification of Besov spaces via Littlewood-Paley-Stein g-type function, to appear in Proceeding of American Mathematical Society. DOI: 10.1090/proc/13504

15. (with D.Barbier and E. Hernandez) Lattice sub-tilings and frames in LCA groups, Comptes rendus Mathematique, Vol. 355, Issue 2, Feb. 2017, pages 193-199

16. (with Alex Iosevich and Jonathan Pakianathan) The Fuglede Conjecture holds in ${\Bbb Z}_p \times {\Bbb Z}_p$, Analysis & PDE, Vol. 10, No. 4, 2017

17. A unified Littlewood-Paley decomposition of abstract Besov spaces; Proc. Amer. Math. Soc., Proc. Amer. Math. Soc. 144 (2016), 1021--1028.

18. (with Bradley Currey and Vignon Oussa), Sampling and Interpolation on Certain Nilpotent Lie Groups, to appear in IEEE Sampling, 2015

19. (with A. Iosevich), Exponential bases, Paley-Wiener spaces, and applications; Journal of Functional Analysis, Volume 268, Issue 2, 15 January 2015, Pages 363--375.

20. (with B. Currey and V. Oussa), Decompositions of Generalized Wavelet Representations; Contemporary Mathematics 626, 55-65 (2014)

21. (with B. Currey and V. Oussa), Characterization of shift-invariant spaces on a class of nilpotent Lie groups with applications; Journal of Fourier Analysis and Applications, April 2014, Volume 20, Issue 2, pp 384-400.

22. (with D.Barbier and E. Hernandez) Bracket map for Heisenberg group and the characterization of cyclic subspace; Applied and Computational Harmonic Analysis, Volume 37, Issue 2, September 2014, Pages 218--234.

23. (with V. Oussa) Regular Representations of Time-Frequency Groups; Mathematische Nachrichten, Volume 287, Issue 11-12, pages 1320–1340, 2014.

24. (with M. Razani), Multiplexing and demultiplexing Frame Pairs; to appear in Contemporary Mathematics, Nov. 2013.

25. (with B. Currey), The orthonormal dilation property for abstract Parseval wavelet frames; Canadian Mathematical Bulletin, 56(2013), 729-736.

26. (With J. Christensen, G. Olafsson) Coorbit description and atomic decomposition of Besov spaces; Numerical Functional Analysis and Optimization, pages 847-871, 24 pages, (2012).

27. (with H. Führ), Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization; The Journal of Function Spaces and Applications, Volume 2012, Article ID 523586, (2012), 41 pages.

28. (with B. Currey), A density condition for interpolation on the Heisenberg group; (arXiv), Rocky Mountain Journal of Mathematics, Volume 42, Number 4 (2012), pages 1135-1151, 17 pages,

29. (with S.Scodeller, O.Rudjord, F.K.Hansen, D.Marinucci, D. Geller) Introducing Mexican needlets for CMB analysis: Issues for practical applications and comparison with standard needlets, The Astrophysical Journal, Vol. 733, No. 2, (2011).

30. (with B. Currey), Gabor fields and wavelet sets for the Heisenberg group; Monatsh. Math. (2011), 162:119-142.

31. (with D. Geller), Nearly tight frames for spin wavelets on the sphere; Sampl. Theory Signal Image Process. 9 (2010), 25-57.

32. Asymptotic uncorrelation for generalized mexican needlets;J. Math. Anal. Appl. (2010), Pages 336-344.

33. (with D. Geller), Besov spaces and frames on compact manifolds; (arXiv) Indiana Univ. Math. J. 58 (2009), 2003-2042.

34. (with D. Geller), Nearly tight frames and space-frequency analysis on compact manifolds;Math. Z. 236 (2009), no. 2, 235-264

35. (with D. Geller), Continuous wavelets on compact manifolds; Math. Z. 262 (2009), no. 4, 895--927

36. Shannon multiresolution analysis on the Heisenberg group; J. Math. Anal. Appl. 348 (2), 671-684, (2008)

37. (with D. Geller ), Continuous wavelets and frames on stratified Lie groups I.; J. Fourier Anal. Appl. 12 (5), 543-579, (2006)

38. Continuous and Discrete Wavelet Transformations on the Heisenberg Group; (Ph.D thesis in English) accepted by Technische Universität München, Germany in April 2006.

Eprints

1. (with S. Ferguson and N. Sothanaphan), Exponential Riesz bases, multi-tiling and condition numbers in finite abelian groups, https://arxiv.org/pdf/1904.04487.pdf

2. (with V. Oussa) Sampling pairs for a class of nilpotent Lie groups, preprint.

3. (with D.Barbier and E. Hernandez) Tiling by lattices for locally compact abelian groups, preprint, http://arxiv.org/pdf/1508.04208v1.pdf

4. Azita Mayeli, Paley-Wiener description of K-spherical Besov spaces on the Heisenberg group, preprint, http://arxiv.org/pdf/1111.4573v1.pdf

5. Azita Mayeli, Mexican wavelet on the Heisenberg group, 2008. http://arxiv.org/abs/0705.3364

Book chapter

1. Azita Mayeli and Daryl Geller, Wavelets on Manifolds and Statistical Applications to Cosmology; title of the book: Wavelets and Multiscale Analysis, Theory and Applications,published by Birkhaeuser, 2011.

Books and Conference Proceedings

1.  (with Z. Dingxuan, Q.T.L. Gia, H. Mhaskar and I. Pesenson), Frames and Other Bases in Abstract and Function Spaces: Novel Methods in Harmonic Analysis, Vol.1., 2017.

2. (with Z. Dingxuan, Q.T.L. Gia, H. Mhaskar and I. Pesenson), Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods I in Harmonic Analysis, Vol. 2, 2017 (Applied and Numerical Harmonic Analysis).

3. (with Z. Dingxuan, Q.T.L. Gia, H. Mhaskar and I. Pesenson), Novel methods in harmonic analysis with applications to numerical analysis and data processing, Applied and Numerical Harmonic Analysis series (ANHA), Birkhauser/Springer, 2017 (Springer).

4. (with Jens Christensen, Susanna Dann and Gestur Olafsson (co-editors)), Harmonic Analysis and its Applications, American Mathematical Society (AMS) Contemporary Mathematics, Volume: 650; 2015; 209 pp.  

5. (with Alex Iosevich, Palle T. Jorgensen, and Gestur Olafsson (co-editors)), Commutative and Noncommutative Harmonic Analysis and Applications, AMS, Contemporary Mathematics, Vol. 603 (2013). ISBN-10: 0-8218-9493-5. 

6.  Azita Mayeli, Continuous and Discrete Wavelet Transformations on the Heisenberg Group; published by Technische Universität München, Germany, 2006.

last updated: September 2023