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, CarlZeros 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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