@article{oai:teapot.lib.ocha.ac.jp:00034693,
 author = {KANEKO, Akira},
 issue = {1},
 journal = {お茶の水女子大學自然科學報告},
 month = {Aug},
 note = {application/pdf, 紀要論文, We discuss existence of global solutions of infra-exponential growth to a linear partial differential equation with constant coefficients whose total symbol P(ζ) has the origin as its only real zero. We show that such a solution necessarily reduces to an entire infra-exponential function if and only if the complex zeros of P(ζ) is absent in a strip |Imζ|<δ, |Reζ|>1/δ. This is a generalization of Schwartz's theorem, which in turn generalizes the classical Liouville theorem in the theory of functions.},
 pages = {1--5},
 title = {LIOUVILLE TYPE THEOREM FOR SOLUTIONS OF INFRA-EXPONENTIAL GROWTH OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS},
 volume = {49},
 year = {1998}
}