Education

Ph. D.,1985, University of Maryland, College Park, Complex Analysis
Research
Selected Publications
 Multiplication Operators between the Lipschitz Space and the Space of Bounded Functions on a Tree, with G.R. Easley, Mediterr. Journal Math., to appear
 Hints on How to Improve Mathematics Instruction, with G.R. Easley, Journal of eLearning and Knowledge Society, to appear
 Biharmonic Extensions on Tress withour Positive Potentials, with I. Bajunaid, J.M. Cohen and D. Singman, Journal Math Anal. Appl., to appear
 Multiplication Operators on the Weighted Lipschitz Space of a Tree, with R.F. Allen and G.R. Easley, Journal Operator Theory, to appear
 Multiplication Operators on the Weighted Lipschitz Space of a Tree, with G.R. Easley, Integral Equations and Operator Theory, 68 (3) (2010), pp. 391411
 Radon Transform Inversion via the Shearlet Representation, with G.R. Easley, K. Guo and D. Labate, Appl. Comput. Harmon. Anal., 29 (2010), pp. 232250
 Weighted Composition Operators from H
∞ to the Bloch Space of a Bounded Homogeneous Domain, with R.F. Allen, Integral Equations and Operator Theory, 66 (1) (2010), pp. 2140
 Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain, with R.F. Allen, Operator Theory: Advances and Applications 202 (2009), pp. 1137, Birkhauser Verlag, Basel, Switzerland
 Classification of Brelot Structures on Graphs, with I. Bajunaid, J.M. Cohen and D. Singman, Adv. Appl. Math., 43 (2009), pp.113136
 Multiplication Operators on the Bloch Space of Bounded Homogeneous Domains, with R.F. Allen, Comput. Methods Funct. Theory, 9 (2) (2009), pp. 679693
 Biharmonic Green Function on Homogeneous Trees, with J.M. Cohen and D. Singman, Mediterr. J. Math, 6 (3) (2009), pp. 249272
 On the Isometric Composition Operators in the Bloch Space in C^n, with R.F. Allen, J. Math. Anal. Appl., 355 (2009), pp. 675688
 Improved Radon Based Imaging Using the Shearlet Transform, with G.R. Easley and D. Labate. Proc. SPIE 2009, Independent Component Analysis, Wavelets, Neural Networks, Biosystems, and Nanoengineering VII, 7343 (2009), Orlando
 Characterization of Isometries and Spectra of Multiplication Operators on the Bloch Space, with R.F. Allen. Bull Austral. Math. Soc., 79 (2009), pp. 147160
 Shearlet Based Total Variation for Denoising, with G.R. Easley and D. Labate. IEEE Trans. Image Processing, 18 (2) (2009), pp. 260268

Characterization of Harmonic Structures on Graphs, with I. Bajunaid, J.M. Cohen and D. Singman. Adv. Appl. Math., 43 (2009), pp. 113136

A Riesz Decomposition Theorem on Harmonic Spaces without Positive Potentials, with I. Bajunaid, J.M. Cohen, and D. Singman. Hiroshima Math J., 38 (2008), pp. 3750

Generalized Discrete Radom Transforms and Applications to Image Processing, with G.R. Easley. Advances in Image Processing and Electron Physics, 151 (2008), pp. 169239

Isometric Composition Operators on the Bloch Space in the Polydisk, with J.M. Cohen. Contemporary Mathematics, Banach Spaces of Analytic Functions, 454 (2008), pp. 921

Improved Total Variation Algorithms for WaveletBased Denoising, with G.R. Easley. Proc. SPIE 2007, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks V (2007), Orlando

A Global Riesz Decomposition Theorem on Trees without Positive Potentials, with J.M. Cohen and D. Singman. J. London Math. Soc. (2) 75 (2007), pp. 117

Preimages of OnePoint Sets of Bloch and Normal Functions, with J.M. Cohen. Mediterranean J. Math. (3) (2006), pp. 513532

Characterisation of the Isometric Composition Operators on the Bloch Space, Bull. Austral. Math. Soc. 72 (2005) pp. 283290

Function Series, Catalan Numbers, and Random Walks on Trees, with I. Bajunaid, J.M. Cohen, and D. Singman. American Mathematical Monthly, 112 (2005), pp. 765785

Generalized Discrete Radon Transforms and their use in the Ridgelet Transform, with G.R. Easley. Journal of Mathematical Imaging and Vision, 23 (2005), pp. 145165

Multichannel Deconvolution Problem: A Discrete Analysis, with G.R. Easley. Journal of Fourier Analysis and Applications, 10 (2004), pp. 351376

Invariant Object Recognition Base on the Generalized Discrete Radon Transforms, with G.R. Easley. Proc. SPIE 2004, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks II, 5439 (2004), Orlando, pp. 164174

Distributions and Measures on the Boundary of a Tree, with J.M. Cohen and D. Singman. Journal Math. Anal. and Appl., 293 (2004), pp. 89107

Geometric Transforms and their Applications to SAR Speckle Reduction, with G.R. Easley. Proc. SPIE 2003, Algorithms for Synthetic Aperture Radar Imagery X, 5095 (2003)

Trees as Brelot Spaces, with I. Bajunaid, J.M. Cohen, and D. Singman. Advances in Appl. Math., 30 (2003), 706745

Analytic Eigendistributions and Applications to Homogeneous Trees, with J.M. Cohen. Advances in Appl. Math., 29 (2002), 9991043
Professional Awards and Invitations

Lester R. Ford Award, Mathematical Association of America, 2006 for the article Function series, Catalan numbers, and random walks on trees

First Annual GMU Mosaic Outstanding Faculty Award, 2003

Summer Research Grant, GMU, 1993

NSF Funding for CBMS Conference, Spring 1992
Recent Master's and Ph.D. Committees

Toan Khuu, MS student in Mathematics, thesis advisor
 Jeremy Heil, Ph.D. student in Mathematics
 Robert Allen, Ph.D., thesis advisor (May 2009)

Catherine Sausville, MS (May 2008)

Mohammed Buhimi, MS (May 2006)

Julie Hiles, M.S. thesis advisor (May 2006)

MaoTsuen Jeng, Ph.D. student in Mathematical Sciences from Fall of 2005

Swaponil Banerjee, Ph.D. student in Physical Sciences

James Kelliher, M.S. thesis advisor (May 2000)

James Lyons, M.A. (Dec. 1999)

Rolando Castro, Ph.D. in CSI (May 1999)
Invited Talks and Colloquium Lectures

SEAM XXVII, Florida State University, Gainesville, FL, March 2011
 George Mason University, Colloquium, March 2011
 George Mason University, Math Club, December 2010
 Special Session on Operator Theory, AMS Sectional Meeting, Richmond, VA, November 2010
 University of Bari, Colloquium, July 2010
 George Mason University, Colloquium, April 2010

Multiplication Operators on the Bloch Space, University of Bari, July 2009

Weighted Composition Operators on the Bloch Space in C^n. AMS Special Session on Function Theoretic Operator Theory, Joint Mathematics Meeting, Washington, DC, January 2009

Characterization of Harmonic Structures on Intervals, Analysis Seminar, George Washington University, December 2008

An Itenary through Pure and Applied Mathematics, SIAM Fall Research Symposium, George Mason University, November 2008

Operator Theory on the Bloch Space, Colloquium, George Mason University, October 2008

A Trek in Mathematics, WISDOM (Women in Scientific Domains), sponsored by NSF, George Mason University, April 2008
 Classification of Harmonic Structures on Intervals, Colloquium, George Mason University, November 2007
 Isometric Composition Operators on the Bloch Space in Higher Dimensions, Complex Analysis and Potential Theory Seminar, George Mason University, November 2007

The Spectrum of an Isometric Composition Operator on the Bloch Space, University of Bari, July 2007.

Isometric Composition Operators on the Bloch Space in C^n, AMS Special Session on Complex Dynamics and Function Theory, Oxford, OH, March 16, 2007
 Isometric Composition Operators on the Bloch Space on a Bounded Symmetric Domain, SEAM XXIII, Univ. of Richmond, March 9, 2007
 The Best of Both Worlds: Complex Analysis and Discrete Potential Theory, Math Club, George Mason University, December 7, 2006
 The Bloch Space on Bounded Symmetric Domains in C^n and a Problem in Operator Theory, Graduate Student Seminar, George Mason University, September 26, 2006.

Isometric Composition Operators on the Bloch Space in the Polidisk, University of Bari, July 2006

Characterization of the Isometric Composition Operators on the Bloch Space, AMS Special Session on Banach Spaces of Analytic Functions, Durham, NH, April 2006

Canonical Factorization of Analytic Functions in the Complex Plane, George Mason University, February 2006

Function Series, Catalan Numbers, and Random Walks on Trees, George Mason University, October 2005

Isometric Composition Operators on the Bloch Space, University of Bari, July 2005
 A NonAnalytic Power Series and Applications to Random Walks on Trees, University of Bari, July 2004

Trees as Brelot Spaces, George Mason University, November 2003

Trees as Brelot Spaces, University of Bari (Italy), July 2002

Polyharmonic Functions on Trees, Special Session on Potential Theory, AMS Sectional Meeting, Montreal, Quebec (Canada), May 2002

Polyharmonic Functions and Polymartingales on Trees, Annual Harmonic Analysis Conference, Sorrento, (Italy), May 2001
