Peer-Reviewed Publications since 2006                                                                                                 Back to the homepage of Azita Mayeli

  1. Exponential bases, Paley-Wiener spaces, and applications, to appear in the Journal of Functional Analysis. 
  2. Unified Littlewood-Paley decomposition of abstract Besov spaces, to appear in Proceeding of American Mathematical Society, ID PROC12485
  3. (with B. Currey and V. Oussa), Decompositions of Generalized Wavelet Representations, to appear in Contemp. Math. series of AMS.
  4. (with B. Currey and V. Oussa), Characterization of shift-invariant spaces on a class of nilpotent Lie groups with application, to appear in Journal of Fourier Analysis and Applications
  5. (with D.Barbier and E. Hernandez) Bracket map for Heisenberg group and the characterization of cyclic subspace, to appear in Applied and Computational Harmonic Analysis, 2013
  6. (with V. Oussa) Regular Representations of Time-Frequency Groups, to appear in Mathematische Nachrichten,  2013.
  7. (with M. Razani), Multiplexing and demultiplexing Frame Pairs, to appear in Contemprory Mathematics, Nov. 2013.
  8. (with B. Currey), The orthonormal dilation property for abstract Parseval wavelet frames, Canadian Mathematical Bulletin, 56 (2013), 729-736.
  9. (With J. Christensen, G. Olafsson) Coorbit description and atomic decomposition of Besov spaces, Numerical Functional Analysis and Optimization, pages 847-871, 24 pages, (2012).
  10. (with H. Führ), Homogeneous Besov spaces on stratified Lie groups and their wavelet chracterization,  The Journal of Function Spaces and Applications, Volume 2012, Article ID 523586, (2012), 41 pages
  11. (with B. Currey), A density condition for interpolation on the Heisenberg group, (arXiv), Rocky Mountain Journal of Mathemathics, Volume 42, Number 4 (2012), pages 1135-1151, 17 pages,
  12. (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). 
  13. (with B. Currey), Gabor fields and wavelet sets for the Heisenberg group; Monatsh. Math. (2011), 162:119-142.
  14. (with D. Geller), Nearly tight frames for spin wavelets on the sphere; Sampl. Theory Signal Image Process. 9 (2010),  25-57.
  15. Asymptotic uncorrelation for generalized mexican needlets;J. Math. Anal. Appl.  (2010), Pages 336-34. 
  16. (with D. Geller), Besov spaces and frames on compact manifolds; (arXiv) Indiana Univ. Math. J.  58 (2009),  2003-2042. 
  17. (with D. Geller), Nearly tight frames and space-frequency analysis on compact manifolds;Math. Z. 236 (2009), no. 2, 235-264
  18. (with D. Geller), Continuous wavelets on compact manifolds; Math. Z. 262 (2009), no. 4, 895--927
  19. Shannon multiresolution analysis on the Heisenberg group; J. Math. Anal. Appl. 348 (2), 671-684, (2008)
  20. (with D. Geller ), Continuous wavelets and frames on stratified Lie groups I.; J. Fourier Anal. Appl. 12 (5), 543-579, (2006)
  21. Continuous and Discrete Wavelet Transformations on the Heisenberg Group; (Ph.D thesis in English) accepted by Technische Universität München, Germany in April 2006.
     
Preprints/papers submitted  
  1. Azita Mayeli, Identification of Besov spaces via Littlewood-Paley-Stein g-type functions 
  2. Azita Mayeli, Space-Frequency localized wavelets for spherical Besov spaces on the Heisenberg group. Link: arxiv.org/pdf/1208.5165
  3. Azita Mayeli, Paley-Wiener decomposition of Besov spaces and applications

  4. Azita Mayeli, Mexican wavelet on the Heisenberg group, 2008. Link: http://arxiv.org/abs/0705.3364
Ongoing Projects
  1. Invariant subsapces under some actions, with Eugenio Hernandez
  2. Wavelet type frames, with Eugenio Hernandez
  3. Fuglede Conjecture 
  4. Translate bases, with Alex Iosevich
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. (1 citation)
Books
  1. Azita Mayeli, Alex Iosevich, Palle T. Jorgensen, and Gestur Olafsson, Commutative and Noncommutative Harmonic Analysis and Applications, AMS, Contemporary Mathematics, Vol. 603, 2013. ISBN-10: 0-8218-9493-5 Link: http://www.ams.org/bookstore
  2. Azita Mayeli, Continuous and Discrete Wavelet Transformations on the Heisenberg Group; published by Technische Universitaet Muenchen Press (Technical Univesrity of Munich), Germany 2006. (11 citation)
Some notes for my students
  1. Poisson formula for locally compact abelian groups.

updated: November 1, 2013


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