Ryan Berndt, Professor, Department of Mathematics & Actuarial Science
- Ph.D., University of Minnesota, 2003
- B.A., University of Chicago, 1996
Research, Creative, & Professional Work
- Harmonic Analysis: Specifically, the Fourier transform, singular integrals, and weighted inequalities
- A Formula for the Fourier transform of certain odd, differentiable functions. Journal of Mathematical Analysis and Applications. Vol. 285 (2003), 349--355.
- Atomic Hardy space theory for unbounded singular integrals. Indiana University Mathematics Journal. Vol. 55 (2006), 1461--1482.
- Extrapolation of operators defined on domains and boundary respecting Ap weights. Contemporary Mathematics Series of the American Mathematics Society. Vol 428 (2007), 23--31.
- A pointwise estimate for the Fourier transform and the number of maxima of a function. Can. Math. Bull. Vol. 55, 689-696.
- Symmetric conditions for a weighted Fourier transform inequality. Journal of Mathematical Analysis and Applications. Vol 379 (2011), 439--443.
- (with G. Oman) Turning automatic continuity around: automatic homomorphisms. Real Analysis Exchange. Vol 41 (2016), 271--286.
- R. Berndt. The Fourier Inequality, Polarity, and Reverse Hölder Inequality. Journal of Fourier Analysis and Applications. Vol. 24 (2018), 1518–1538.
Affiliations & Awards
- University of Minnesota Good Teaching Award
- Westinghouse (Intel) Science Talent Search Scholar, Semifinalist