Associate Professor

Mathematics & Statistics

#### Raymond Cheng

2128 ENGR & COMP SCI BLDG

NORFOLK, 23529

**Ph.D.** in Mathematics, University of Virginia, (1989)

## 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

## Research Interests

Functional Analysis, Prediction Theory

## Articles

- Cheng, R. and Felder, C. (2022). On the geometry of the multipliers on $\ell^p_A$. 9 , pp. 41-52.
- Cheng, R. (2022). On the prediction of p-stationary processes. 85 , pp. 481-505.
- Cheng, R., Ross, W. and Seco, D. (2022). Zeros of optimal polynomial approximants in $\ell^p_A$. 404.
- 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. 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., 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. Peter. (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. (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*. American Mathematical Society. - Cheng, R. (2007).
*Practical Chess Exercises: 600 Lessons from Tactics to Strategy*. 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.

## Conference Proceeding

- Cheng, R. and Felder, C. (2022). On interpolation by functions in $\ell^p_A$
*Proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory*AMS.

## Presentations

- Cheng, R. (April 11, 2015). Introduction to Mathematical Typesetting with LaTeX Oral Presentation SIAM Math Awareness Conference Norfolk, Virginia.
- Cheng, R. (January 23, 2015). Count It Twice! Keynote/Plenary Address Mu Alpha Theta Induction Ceremony Virginia Beach.