Rotating needles, vibrating strings, and Fourier summation

Snapshots of modern mathematics from Oberwolfach

Rotating needles, vibrating strings, and Fourier summation

We give a brief survey of the connection between seemingly unrelated problems such as sets in the plane containing lines pointing in many directions, vibrating strings and drum heads, and a classical problem from Fourier analysis.

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Mathematical subjects

Analysis

Author(s)

Joshua Zahl

License

DOI (Digital Object Identifier)

10.14760/SNAP-2020-006-EN

Download PDF

snapshot-2020-006.pdf

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snapshots: overview

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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Invitation to quiver representation and Catalan combinatorics
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Rotating needles, vibrating strings, and Fourier summation
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Quantum symmetry
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Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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