Fourier Uniqueness and Non-Uniqueness Pairs

Explore the intricacies of Fourier uniqueness and non-uniqueness pairs in this 55-minute lecture delivered by Mikhail Sodin from Tel Aviv University. Delve into advanced mathematical concepts as part of the Focus Program on Analytic Function Spaces and their Applications at the Fields Institute. Gain insights into the complex relationships between Fourier transforms and their underlying functions, examining cases where uniqueness is preserved and instances where multiple functions can share the same Fourier representation.

Fourier uniqueness and non-uniqueness pairs