On a correctness class of the Bessel type differential operator S_μ

Will Y. K. Lee

Vol. 62 (1976), No. 2, 473–482

DOI: 10.2140/pjm.1976.62.473

Abstract

We have found a correctness class of the BesseI type differential operator S_μ = ∂²∕∂x² − (4μ² − 1)∕4x² among smooth functions using the Hankel transform and linear mapping theory. It is left as an open problem to find its correctness class among nonsmooth functions satisfying certain boundary conditions.

Mathematical Subject Classification 2000

Primary: 35A99

Secondary: 47F05, 46F10

Milestones

Received: 14 September 1975

Published: 1 February 1976