Carl Prather

Born:

Birthplace:

B.S., Trinity College, 1972; M.A., Northwestern, 1973

Ph.D., Northwestern, 1977
thesis:

Area of Research Interests: Complex Analysis, Operator Theory

Full Professor of Mathematics at Virgina Polytechnic Institute

URL: http://www.math.vt.edu/people/prather/index.html
email: prather@math.vt.edu

RESEARCH NOTES

Carl Prather has published many papers in complex analysis.

Selected Publications

22. Prather, C. L. Uniqueness theorems for entire functions having growth $[2,\pi/2)$. Numer. Funct. Anal. Optim. 21 (2000), no. 3-4, 509--520.

21. Pinsky, Mark A.; Prather, Carl Pointwise convergence of $n$-dimensional Hermite expansions. J. Math. Anal. Appl. 199 (1996), no. 2, 620--628.

20. Prather, C. L. Some generalized Pólya-Turán inequalities. J. Math. Anal. Appl. 151 (1990), no. 1, 140--163.

19. Prather, C. L. A question of Hille on inversion of differential operators of infinite order. J. Math. Anal. Appl. 144 (1989), no. 1, 236--241.

18. Prather, Carl L.; Ran, André C. M. Factorization of a class of meromorphic matrix valued functions. J. Math. Anal. Appl. 127 (1987), no. 2, 413--422.

17. Prather, Carl L.; Ran, André C. M. A Hadamard factorization theorem for entire matrix valued functions. Operator theory and systems (Amsterdam, 1985), 359--372, Oper. Theory Adv. Appl., 19, Birkhäuser, Basel, 1986.

16. Prather, C. L. Zeros of operators on real entire functions of order less than two. J. Math. Anal. Appl. 117 (1986), no. 1, 81--83.

15. Prather, C. L. The oscillation of derivatives: the Bernstein problem for Fourier integrals. J. Math. Anal. Appl. 108 (1985), no. 1, 165--197.

14. Prather, Carl Zeros of operators on functions and their analytic character. Rocky Mountain J. Math. 14 (1984), no. 3, 679--697.

13. Prather, C. L. Final sets for operators on real entire functions of order one, normal type. Proc. Amer. Math. Soc. 90 (1984), no. 3, 363--369.

12. Layman, J. W.; Prather, C. L. Generalized Bell numbers and zeros of successive derivatives of an entire function. J. Math. Anal. Appl. 96 (1983), no. 1, 42--51.

11. Prather, C. L.; Shaw, J. K. On the oscillation of differential transforms of eigenfunction expansions. Trans. Amer. Math. Soc. 280 (1983), no. 1, 187--206.

10. Prather, C. L.; Shaw, J. K. Zeros of successive iterates of multiplier-sequence operators. Pacific J. Math. 104 (1983), no. 1, 205--218.

9. Shaw, J. K.; Prather, C. L. A Pólya "shire" theorem for functions with algebraic singularities. Internat. J. Math. Math. Sci. 5 (1982), no. 4, 691--706.

8. Shaw, J. K.; Prather, C. L. Zeros of successive derivatives of functions analytic in a neighborhood of a single pole. Michigan Math. J. 29 (1982), no. 1, 111--119.

7. Prather, C. L. Note on a role for entire functions of the classes $P$ and $P\sp{*}$. Internat. J. Math. Math. Sci. 4 (1981), no. 4, 649--654.

6. Prather, C. L. Final sets for operators on classes of entire functions representable as a Fourier integral. J. Math. Anal. Appl. 82 (1981), no. 1, 200--220.

5. Prather, C. L. On some new and old theorems, on final sets. Houston J. Math. 7 (1981), no. 3, 407--430.

4. Shaw, J. K.; Prather, C. L. Zeros of successive derivatives and iterated operators on analytic functions. Proc. Amer. Math. Soc. 79 (1980), no. 2, 225--232.

3. Prather, Carl L. On special classes of entire functions whose zeros and growth are restricted. Trans. Amer. Math. Soc. 258 (1980), no. 1, 181--189.

2. Prather, Carl L. On the zeros of derivatives of balanced trigonometric polynomials. Pacific J. Math. 81 (1979), no. 2, 515--523.

1. Boas, R. P., Jr.; Prather, Carl L. Final sets for operators on finite Fourier transforms. Houston J. Math. 5 (1979), no. 1, 29--36.

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