Uncertainty and Analyticity

Abstract

We describe a connection between minimal uncertainty states and holomorphy-type conditions on the images of the respective wavelet transform. The most familiar example is the Fock-Segal-Bargmann transform generated by the Gaussian, however, this also occurs under more general assumptions.

AMS-LaTeX, 7 p., no figures; v2: misprints are corrected

References in corpus (1)

• p-Mechanics as a Physical Theory. An Introduction

Cited by in corpus (4)

• Geometric Dynamics of a Harmonic Oscillator, Arbitrary Minimal Uncertainty States and the Smallest Step 3 Nilpotent Lie Group
• Cross-Toeplitz Operators on the Fock--Segal--Bargmann Spaces and Two-Sided Convolutions on the Heisenberg Group
• Solving the Schrodinger Equation by Reduction to a First-order Differential Operator through a Coherent States Transform
• Metamorphism as a covariant transform for the SSR group