**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Thursday, January 30, 2020 — 2:30 PM EST

MC 5501

Achim Kempf | University of Waterloo, Applied Mathematics

Superoscillations: Faster than Fourier

Counterintuitively, there are smooth and square integrable functions that locally oscillate much faster than the fastest Fourier component that they contain. I will show new state-of-the-art methods that my students developed for constructing such superoscillatory functions. Superoscillations are of both theoretical and applied interest, ranging from applications in optics to the foundations of quantum theory. Information theoretically, signals with superoscillations are consistent with Shannon's noisy channel capacity theorem in a highly nontrivial way that leads to new information-theoretic insights.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.