An Uncertainty Principle of Paley and Wiener on Euclidean Motion Group

Authors

Mithun Bhowmik, Indian Statistical Institute, Kolkata
Suparna Sen, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Fourier Analysis and Applications

Abstract

A classical result due to Paley and Wiener characterizes the existence of a non-zero function in L2(R) , supported on a half line, in terms of the decay of its Fourier transform. In this paper we prove an analogue of this result for compactly supported continuous functions on the Euclidean motion group M(n). We also relate this result to a unique continuation property of solutions to the initial value problem for time-dependent Schrödinger equation on M(n).

First Page

1445

Last Page

1464

DOI

10.1007/s00041-016-9510-x

Publication Date

12-1-2017

Comments

Open Access, Green

Recommended Citation

Bhowmik, Mithun and Sen, Suparna, "An Uncertainty Principle of Paley and Wiener on Euclidean Motion Group" (2017). Journal Articles. 2337.
https://digitalcommons.isical.ac.in/journal-articles/2337