Articles published, or accepted for publication, in research journals

  1. F. Colonna and M. Tjani, Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces, CONM Proceedings of the Workshop Recent Methods and Research Advances in Operator Theory and AMS Special Session on Advances in Operator Theory and Applications, to appear.
  2. J. M. Cohen, F. Colonna, M. A. Picardello and D. Singman, Fractal harmonic functions in Bergman spaces on trees with no radial limits, Hokkaido J. Math., to appear.
  3. F. Colonna and M. Tjani, Essential norms of weighted composition operators from reproducing kernel Hilbert spaces into weighted–type spaces, Houston J. Math., to appear.
  4. F. Colonna and S. Li, Weighted composition operators from the Bloch space and the analytic Besov spaces into the Zygmund space, J. Operators, to appear.
  5. F. Colonna and S. Li, Generalized weighted composition operators from \(H^{\infty}\) to the Bloch space, Czechoslovak Math. J., to appear.
  6. F. Colonna and M. Tjani Operator norms and essential norms of weighted composition operators between Banach spaces of analytic functions, J. Math. Anal. Appl. 434 (1) (2016), 93–124.
  7. J. M. Cohen, F. Colonna, M. A. Picardello and D. Singman, Bergman spaces and Carleson measures on homogeneous isotropic trees, Potential Analysis 44 (4) (2016), 745–766.
  8. F. Colonna and M. Tjani, Essential norms of weighted composition operators from Hilbert function spaces into Zygmund–type spaces, Mediterr. J. Math 12 (4) (2015), 1357–1375.
  9. F. Colonna and S. Li, Weighted composition operators from Lipschitz spaces into the Zygmund space, Math. Inequal. Appl. 17 (3) (2014), 963–975.
  10. F. Colonna and M. Tjani, Weighted composition operators from the analytic Besov spaces to BMOA, Concrete operators, spectral theory, operators in harmonic analysis and approximation, 133–157, Oper. Theory Adv. Appl. 236, Birkhäuser/Springer, Basel, 2014.
  11. R. F. Allen, F. Colonna and G. R. Easley, Composition operators on the Lipschitz space of a tree, Mediterr. J. Math. 11 (1) (2014), 97–108.
  12. F. Colonna and S. Li, Weighted composition operators from \(H^{\infty}\) into the Zygmund spaces, Complex Anal. Oper. Theory 7 (5) (2013), 1495–1512.
  13. F. Colonna and S. Li, Weighted composition operators from the Besov spaces to the Bloch spaces, Bull. Malays. Math. Sci. Soc. (2) 36 (4) (2013), 1027–1039.
  14. J. M. Cohen, F. Colonna and D. Singman, Carleson and vanishing Carleson measures on radial trees, Mediterr. J. Math. 10(3) (2013), 1233–1256.
  15. F. Colonna and A. K. Sharma, Boundedness, compactness and order boundedness of products of composition, multiplication and iterated differentiation between Hardy and weighted Bergman spaces, Indian J. Math. 55 (1) (2013), 57–100.
  16. F. Colonna and M. Tjani, Weighted composition operators from the Besov spaces into the weighted–type space \(H_{\mu}^{\infty}\), J. Math. Anal. Appl. 402(2) (2013), 594–611.
  17. F. Colonna, Weighted composition operators from \(H^{\infty}\) to BMOA, Bull. Korean Math. Soc. 50(1) (2013), 185–200.
  18. R. F. Allen, F. Colonna and G. R. Easley, Multiplication operators on the weighted Lipschitz space of a tree, J. Operator Theory, 69(1) (2013), 209–231.
  19. F. Colonna and S. Li, Weighted composition operators from the minimal invariant space to the Bloch space, Mediterr. J. Math. 10 (1) (2013), 395–409.
  20. F. Colonna, New criteria for boundedness and compactness of the weighted composition operators mapping into the Bloch space, Cent. Eur. J. Math. 11(1) (2013), 55–73.
  21. J. M. Cohen, F. Colonna and D. Singman, Carleson measures on a homogeneous tree, J. Math. Anal. Appl. 395 (2012), 403–412.
  22. R. F. Allen, F. Colonna and G. R. Easley, Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree, Mediterr. J. Math. 9, no. 4 (2012), 575–600.
  23. F. Colonna and G. R. Easley, Multiplication operators between the Lipschitz space and the space of bounded functions on a tree, Mediterr. J. Math. 9, no. 3 (2012), 423–438.
  24. F. Colonna and S. Li, Weighted composition operators from Hardy spaces into logarithmic Bloch spaces, J. Function Spaces Appl., Vol. 2012, Article ID 454820, 20 pages, doi:10.1155/2012/454820.
  25. F. Colonna, G. R. Easley and D. Singman, Norm of the multiplication operators from \(H^{\infty}\) to the Bloch space of a bounded symmetric domain, J. Math. Anal. Appl. 382 (2011), 621–630.
  26. R. F. Allen, F. Colonna and G. R. Easley, Multiplication operators between Lipschitz–type spaces on a tree, Internat. J. Math. Math. Sci. ID 472495 (2011), 1–36.
  27. F. Colonna and G. R. Easley, Hints on how to improve mathematics instruction, Journal of e–Learning and Knowledge Society 7(1) (2011), 9–23.
  28. I. Bajunaid, J. M. Cohen, F. Colonna and D. Singman, Biharmonic extensions on trees without positive potentials, J. Math. Anal. Appl. 378 (2011), 710–722.
  29. G. R. Easley, F. Colonna, H. Krim, D. Labate, S. Yi, Image Processing Applications using Shearlets, Oberwolfach Report No. 44/2010 (2010).
  30. F. Colonna, G. R. Easley, Multiplication operators on the Lipschitz space of a tree, Integr. Equ. Oper. Theory, 68(3) (2010), 391–411.
  31. F. Colonna, G. R. Easley, K. Guo, and D. Labate, Radon transform inversion using the shearlet representation, Appl. and Comput. Harmon. Anal. 29 (2010), 232–250.
  32. R. F. Allen and F. Colonna, Weighted composition operators from \(H^{\infty}\) to the Bloch space of a bounded homogeneous domain, Integral Equations and Operator Theory, 66 (1) (2010), 21–40.
  33. R. F. Allen and F. Colonna, Weighted composition operators on Bloch spaces of a bounded homogeneous domain, Operator Theory: Advances and Applications 202 (2010), 11–37, Birkhäuser Verlag, Basel, Switzerland.
  34. J. M. Cohen, F. Colonna, and D. Singman, Biharmonic Green functions on homogeneous trees, Mediterr. J. Math., 6(3) (2009), 249–272.
  35. R. F. Allen and F. Colonna, Multiplication operators on the Bloch space of bounded homogeneous domains, Computational Methods and Function Theory, 9(2) (2009), 679–693.
  36. R. F. Allen, F. Colonna, On the isometric composition operators on the Bloch space in \(\mathbb C^n\), Jour. Math. Anal. and Appl., 355(2) (2009), 675–688.
  37. G. R. Easley, F. Colonna, and D. Labate, Improved radon based imaging using the shearlet transform, Proc. SPIE 7343, 734306 (2009).
  38. R. F. Allen, F. Colonna, Isometries and spectra of multiplication operators on the Bloch space, Bull. Austral. Math. Soc., 79 (2009), 147–160.
  39. G. R. Easley, D. Labate, and F. Colonna, Shearlet–Based Total Variation for Denoising, IEEE Trans. Image Processing, 18(2) (2009), 260–268.
  40. I. Bajunaid, J. M. Cohen, F. Colonna, D. Singman, Classification of harmonic structures on graphs, Advances in Appl. Math., 43 (2009), 113–136.
  41. J. M. Cohen, F. Colonna, Isometric composition operators on the Bloch space in the polydisk, Contemp. Math. (Amer. Math. Soc.), 454 (2008), 9–21.
  42. I. Bajunaid, J. M. Cohen, F. Colonna, D. Singman, A Riesz decomposition theorem on harmonic spaces without positive potentials, Hiroshima Math. J., 38(2008), 37–50.
  43. G. R. Easley, F. Colonna, Generalized discrete Radon transforms and applications to image processing, Advances in Imaging and Electron Physics, 151 (2008), 169–239.
  44. G. Easley, F. Colonna, Improved total variation algorithms for wavelet–based denoising, Proc. SPIE 2007, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks V, 6576(2007), Orlando, 65760J.
  45. J. M. Cohen, F. Colonna, D. Singman, A global Riesz decomposition theorem on trees without positive potentials, J. London Math. Soc. (2)75(2007), 1–17.
  46. J. M. Cohen, F. Colonna, Preimages of one–point sets of Bloch and normal functions, Mediterr. J. Math. 3(2006), 513–53.
  47. F. Colonna, Characterisation of the isometric composition operators on the Bloch space, Bull. Austral. Math. Soc. 72 (2005), 283–290.
  48. I. Bajunaid, J. M. Cohen, F. Colonna, D. Singman, Function series, Catalan numbers, and random walks on trees, American Mathematical Monthly, 112 (2005), 765–785.
  49. F. Colonna, G. R. Easley, Generalized discrete Radon transforms and their use in the ridgelet transform, Journal of Mathematical Imaging and Vision, 23 (2005), 145–165.
  50. F. Colonna, G. R. Easley, Multichannel deconvolution problem: a discrete analysis, Journal of Fourier Analysis and Applications, 10 (2004), 351–376.
  51. G. R. Easley, F. Colonna, Invariant object recognition based on the generalized discrete Radon transforms, Proc. SPIE 2004, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks II, 5439(2004), Orlando, 164–174.
  52. J. M. Cohen, F. Colonna, D. Singman, Distributions and measures on the boundary of a tree, Jour. Math. Anal. and Appl., 293(2004), 89–107.
  53. G. R. Easley, F. Colonna, Geometric transforms and their applications to SAR speckle reduction, Proc. SPIE 2003, Algorithms for Synthetic Aperture Radar Imagery X, 5095(2003), Orlando, 110–118.
  54. I. Bajunaid, J. M. Cohen, F. Colonna, D. Singman, Trees as Brelot spaces, Advances in Appl. Math., 30(2003), 706–745.
  55. J. M. Cohen, F. Colonna, Analytic eigendistributions and applications to homogeneous trees, Advances in Appl. Math., 29(2002), 539–562.
  56. J. M. Cohen, F. Colonna, K. GowriSankaran, D. Singman, Polyharmonic functions on trees, American Jour. of Math., 124(2002), 999–1043.
  57. E. Casadio Tarabusi, F. Colonna, J. M. Cohen, The distribution–valued horocyclic Radon transform on trees, Harmonic Analysis and Integral Geometry, Chapman & Hall/CRC Research Notes in Mathematics, London, 422(2001), 55–66.
  58. E. Casadio Tarabusi, F. Colonna, J. M. Cohen, Range of the horocyclic Radon transform on trees, Annales de l'Institut de Fourier, 50,1(2000)211–234.
  59. E. Casadio Tarabusi, F. Colonna, J. M. Cohen, Characterization of the range of the Radon transform on homogeneous trees, ERA Amer. Math. Soc. 5(1999), 11–17.
  60. J. M. Cohen, F. Colonna, Spectral analysis on homogeneous trees, Advances in Appl. Math., 20(1998), 253–274.
  61. J. M. Cohen, F. Colonna, Eigenfunctions of the Laplacian on a homogeneous tree, Contemp. Math. (Amer. Math. Soc.), 206(1997), 121–123.
  62. J. M. Cohen, F. Colonna, M. A. Picardello, Image recovery from exponential blurring, Circuits Systems Signal Process., 15(1996), 261–274.
  63. J. M. Cohen, F. Colonna, Extreme points of the Bloch space of a homogeneous tree, Israel J. of Math., 94(1996), 247–271.
  64. J. M. Cohen, F. Colonna, The Bloch space of a homogeneous tree, Bol. Soc. Mat. Mex., 37(1992, published in 1995), 63–82.
  65. J. M. Cohen, F. Colonna, The Dynamics of A Simple Non–Linear Recursive Sequence, Random and Computational Dynamics, 2(1994), 135–144.
  66. J. M. Cohen, F. Colonna, Embeddings of trees in the hyperbolic disk, Complex Variables Theory and Applications, 24(1994), 311–335.
  67. J. M. Cohen, F. Colonna, Bounded holomorphic functions on bounded symmetric domains, Trans. Amer. Math. Soc., 343(1994), 135–156.
  68. E. Casadio Tarabusi, J. M. Cohen, F. Colonna, M. A. Picardello, Characterization of the range and functional analysis of the X–ray transform on trees, C.R. Acad. Sci. Paris, 316(I) (1993), 559–564.
  69. J. M. Cohen, F. Colonna, The functional analysis of the X–ray transform on trees, Advances in Appl. Math. 14(1993), 123–138.
  70. F. Colonna, Local normality of meromorphic functions, Proc. Conf. Geometric Aspects on the Theory of Several Complex Variables, 8 EditEl, (1991), 63–80.
  71. F. Colonna, The Bloch constant of bounded analytic functions on a multiply–connected domain, Proc. Amer. Math. Soc., 112(4) (1991), 1055–1066.
  72. F. Colonna, Extreme points of a convex set of Bloch functions, Seminars in Complex Analysis and Geometry, 2 EditEl, (1990), 23–59.
  73. F. Colonna, The Bloch constant of bounded harmonic mappings, Indiana Math. J., 38(1989), 829–840.
  74. F. Colonna, Bloch and normal functions and their relation, Rend. Circ. Matem. di Palermo (II)38(1989), 161–180.
  75. F. Colonna, On the normality of Blaschke quotients, Proc. Amer. Math. Soc. (1)102(1988), 71–77.
  76. F. Colonna, The Bloch constant of bounded analytic functions, J. London Math. Soc. (2)36(1987), 95–101.
  77. F. Colonna, M. L. Falcitelli, Connessioni del secondo ordine specializzate di tipo \(((0, 0), (0, 0))\), Rend. Sem. Fac. Sci. Univ. Cagliari, 48(1978), 405–417.