Raymond Cheng

Associate Professor
Department of Mathematics & Statistics

Contact Information

2128 ENGR & COMP SCI BLDG
NORFOLK, VA 23529

Email: rcheng@odu.edu

Phone: 757-683-5612

Education/Credentials

Research Interests

Functional Analysis, Prediction Theory

Articles

Cheng, R., and Xu, Y. (2020). Minimum norm interpolation in the $\ell_1$ space. Analysis and Applications, Special Issue on Mathematics of Data Science,

Cheng, R., Ross, W. T., and Mashreghi, J. (2020). Inner vectors for Toeplitz operators. Complex Analysis and Spectral Theory

Cheng, R., and Dragas, J. (2019). A Blaschke sequence that fails to be a zero set for $\ell^p_A$. Proceedings of the American Mathematical Society

Cheng, R., Ross, W. T., and Mashreghi, J. (2019). Inner functions and zero sets for $\ell^p_A$. Transactions of the American Mathematical Society

Cheng, R. (2019). The zero sets of $\ell^p_A$ are nested. Illinois Journal of Mathematics, 63, pp. 601-618.

Cheng, R., and Dragas, J. (2019). On the failure of canonical factorization in $\ell^p_A$. Journal of Mathematical Analysis and Its Applications, 479, pp. 1939-1955.

Cheng, R. (2018). Convergence of the best linear predictor of a stationary Gaussian random field. Journal of Fourier Analysis and Applications, 24, pp. 1-22.

Cheng, R., Mashreghi, J., and Ross, W. (2018). Optimal weak parallelogram constants for L^p. Mathematical Inequalities and Applications, 21, pp. 1047-1058.

Cheng, R., Ross, W., and Mashreghi, J. (2017). Birkhoff-James orthogonality and the zeros of an analytic function. Computational Methods and Function Theory, 17, pp. 499-523.

Cheng, R. (2017). An elementary approach to optimal discrete-time search strategies. Sequential Analysis, 36, pp. 541-552.

Cheng, R., Ross, W., and Mashreghi, J. (2017). Multipliers of sequence spaces. Concrete Operators, Special Issue, 4 (1), pp. 76-108.

Cheng, R., and Ross, W. T. (2016). An inner-outer factorization in \ell^p with applications to ARMA processes. Journal of Mathematical Analysis and its Applications, 437, pp. 396-418.

Cheng, R., and Harris, C. (2015). Mixed norm spaces and prediction of SaS moving averages. Journal of Time Series Analysis, 36, pp. 853-875.

Cheng, R. (2015). Prediction of stationary random fields with incomplete quarterplane past. Journal of Multivariate Analysis, 139, pp. 245-258.

Cheng, R., and Ross, W. T. (2015). Weak parallelogram laws on Banach spaces and applications to prediction. Periodica Mathematica Hungarica, 71, pp. 45-58.

Cheng, R. (2014). Sequential search beats two-parameter search. Sequential Analysis, 33, pp. 1-11.

Cheng, R., Seubert, S. M., and Wiegmann, D. D. (2014). Mate choice and the evolutionary stability of a fixed threshold in a sequential search strategy. Computational and Structural Biotechnology Journal, 10, pp. 8-11.

Cheng, R., and Harris, C. B. (2013). Duality of the weak parallelogram laws on banach spaces. Journal of Mathematical Analysis and Its Applications, 404, pp. 64-70.

Cheng, R. (2013). Sequential search beats best-of-N search. Sequential Analysis, 32, pp. 182-195.

Cheng, R., Miamee, A. G., and Pourahmadi, M. (2003). On the geometry of L^p(mu) with applications to infinite variance processes. Journal of the Australian Mathematical Society, 74, pp. 35-42.

Cheng, R., Miamee, A. G., and Pourahmadi, M. (2000). Regularity and minimality of infinite variance processes. Journal of Theoretical Probability, 13, pp. 1115-1122.

Cheng, R., and Houdre, C. (1999). On the prediction of some Lp random fields. Journal of the Australian Mathematical Society, 67, pp. 31-50.

Cheng, R., Miamee, A. G., and Pourahmadi, M. (1998). Some extremal problems in L^p(w). Proceedings of the American Mathematical Society, 126, pp. 2333-2340.

Cheng, R., Kinch, L. F., Ebanks, B. R., Larson, L. M., and McFadden, R. B. (1998). When does f^{-1} = 1/f?. American Mathematical Monthly, 105, pp. 704-717.

Cheng, R., and Klotz, L. P. (1997). Hardy spaces on products of halfplanes and prediction of homogeneous random fields. Zeitschrift fur Analysis und ihre Anwendungen, 16, pp. 519-542.

Cheng, R., and Pourahmadi, M. (1997). Prediction with incomplete past and interpolation of missing values. Statistics and Probability Letters, 33, pp. 341-346.

Cheng, R. (1997). Some Banach spaces of analytic functions and an extremal problem. Analysis Mathematica, 23,

Cheng, R. (1995). Analytic range functions of several variables. Canadian Journal of Mathematics, 41, pp. 462-473.

Cheng, R. (1994). On the structure of shift-invariant subspaces of L^2(T^2,mu). Rocky Mountain Journal of Mathematics, 24, pp. 1307-1317.

Cheng, R. (1994). Outer factorization of operator valued weight functions on the torus. Studia Mathematica, 110, pp. 235-246.

Cheng, R., and Seubert, S. M. (1994). Weakly outer polynomials. Michigan Mathematical Journal, 41, pp. 235-245.

Cheng, R., and Pourahmadi, M. (1993). Baxer's inequality and convergence of finite predictors for multivariate stationary processes. Probability Theory and Related Fields, 95, pp. 115-124.

Cheng, R., and , M. (1993). The mixing rate of a multivariate stationary process. Journal of Theoretical Probability, 6, pp. 603-617.

Cheng, R. (1993). The spectral measure of regular stationary random field with the weak or strong commutation property. Annals of Probability, 21, pp. 1263-1274.

Cheng, R. (1992). A strong mixing condition for second-order stationary random fields. Studia Mathematica, 101, pp. 139-153.

Cheng, R. (1992). Holder classes of vector valued functions and convergence of the best predictor. Journal of Multivariate Analysis, 42, pp. 110-129.

Cheng, R. (1992). On the prediction error for two-parameter stationary random fields. Bulletin of the Australian Mathematical Society, 46, pp. 167-175.

Cheng, R. (1992). On the rate of strong mixing in stationary Gaussian random fields. Studia Mathematica, 101, pp. 183-191.

Cheng, R. (1992). Rational spectral densities and strong mixing. Journal of Multivariate Analysis, 42, pp. 267-283.

Cheng, R. (1992). Weakly and strongly outer functions on the bidisc. Michigan Mathematical Journal, 39, pp. 99-109.

Cheng, R., and Trefil Jr., J. S. (1985). Moving material into space without rockets. Physics Teacher, 23, pp. 85-90.
Books

Cheng, R., Mashreghi, J., and Ross, W. T. (2020). Function Theory and $\ell^p$ Spaces. Providence, RI: American Mathematical Society.

Cheng, R. (2007). Practical Chess Exercises: 600 Lessons from Tactics to Strategy. Tuscon, AZ: Wheatmark.
Book Chapters

Cheng, R., Ross, W. T., and Mashreghi, J. (2019). Inner functions in reproducing kernel spaces.Analysis of Operators on Function Spaces. Birkhauser.
Presentations

Cheng, R. (April 11, 2015). Introduction to Mathematical Typesetting with LaTeX Oral Presentation presented at SIAM Math Awareness Conference Norfolk, Virginia.

Cheng, R. (January 23, 2015). Count It Twice! Keynote/Plenary Address presented at Mu Alpha Theta Induction Ceremony Virginia Beach.

Contracts, Grants and Sponsored Research

, "Visiting Fellow, Center for Theoretical Sciences" . 1994

, "Instructional Development Mini-Grant" . 1993

, "President's Young Investigator Award" . 1992

, "Visiting Fellow, Center for Stochastic Processes" . 1992

, "Dean's Professional Activity Initiative" . 1991

, "Dean's Professional Activity Initiative" . 1989

, "Commonwealth Fellow, Virginia State Council of Higher Education" . 1988

, "National Science Foundation Graduate Fellow" . 1985 - 1988

Old Dominion University

Idea Fusion

Raymond Cheng

Raymond Cheng

Contact Information

Organizational Chart

Education/Credentials

Research Interests

Articles

Books

Book Chapters

Presentations

Contracts, Grants and Sponsored Research