Journal Publications in the last six years                                                                                                                      Back to the homepage of Azita Mayeli

  1. (with B. Currey), The orthonormal dilation property for abstract Parseval wavelet frames, Canadian Mathematical Bulletin, Volume 33, Issue 7-9, (2012).
  2. (With J. Christensen, G. Olafsson) Coorbit description and atomic decomposition of Besov spaces, Numerical Functional Analysis and Optimization, pages 847-871, 24 pages, (2012).
  3. (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. 
  4. (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,
  5. (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). 
  6. (with B. Currey), Gabor fields and wavelet sets for the Heisenberg group; Monatsh. Math. (2011), 162:119-142.
  7. (with D. Geller), Nearly tight frames for spin wavelets on the sphere; Sampl. Theory Signal Image Process. 9 (2010),  25-57.
  8. Asymptotic uncorrelation for generalized mexican needlets; J. Math. Anal. Appl.  (2010), Pages 336-34. 
  9. (with D. Geller), Besov spaces and frames on compact manifolds; (arXiv) Indiana Univ. Math. J.  58 (2009),  2003-2042. 
  10. (with D. Geller), Nearly tight frames and space-frequency analysis on compact manifolds; Math. Z. 236 (2009), no. 2, 235-264
  11. (with D. Geller), Continuous wavelets on compact manifolds; Math. Z. 262 (2009), no. 4, 895--927
  12. Shannon multiresolution analysis on the Heisenberg group; J. Math. Anal. Appl. 348 (2), 671-684, (2008)
  13. (with D. Geller ), Continuous wavelets and frames on stratified Lie groups I.; J. Fourier Anal. Appl. 12 (5), 543-579, (2006)
  14. Continuous and Discrete Wavelet Transformations on the Heisenberg Group; (Ph.D thesis) published online by Technische Universität München,  133 pages, 2006
     
Preprints.
  1. (with Bradley Currey and Vignon Oussa), Characterization of shift-invariant spaces on a class of nilpotent Lie groups with application, submitted (2013)
  2. (with V. Oussa) Regular Representations of Time-Frequency Groups,  submitted (2013)
  3. (with D.Barbier and E. Hernandez) Bracket map for Heisenberg group and the characterization of cyclic subspace, submitted (2013)

 

 

updated: March 10, 2013