Ryan Berndt, Professor, Department of Mathematics & Actuarial Science

• Ph.D., University of Minnesota, 2003
• B.A., University of Chicago, 1996

• Harmonic Analysis: Specifically, the Fourier transform, singular integrals, and weighted inequalities

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.

• University of Minnesota Good Teaching Award
• Westinghouse (Intel) Science Talent Search Scholar, Semifinalist