Ryan Berndt
Professor
Department of Mathematics & Actuarial Science
Ryan Berndt grew up in North Dakota, attended college at the U. of Chicago, and received his Ph.D. from the U. of Minnesota. He held positions at Ohio State, Kansas State, and Yale before coming to Otterbein in 2008. His current mathematical interest is in the Fourier transform and its size in weighted spaces.
Education
- 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
Publications
Articles:
- 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