APPLIED MATH SEMINAR

Speaker: Ronny Haim Machluf Courant Institute, New York University

Title:

Generalized uncertainty principles and the Truncated Fourier Transform (TFT)

When/where: Tuesday, October 13th, 4:15PM, AKW 200

Abstract:

In this talk I will generalize Landau-Pollak uncertainty principle in a way that
the Heisenberg-Pauli-Weyl uncertainty principle will stem as a special case. I
will find the spectrum of the TFT on the positive half-axis. I will show the
behaviour of the spectrum of the TFT on the interval [-a,a] as a approaches to
infinity. I'll show that there is a unique self-adjoint extension to the formal
differential operator -d/dt (1-t2 / a2)d/dt + t2 which commute with the TFT
on the interval [-a,a].