Massera criterion for linear functional equations in a framework of hyperfunctions
Vol. 15 (2008), No. 1, Page 15--51.
OKADA, Yasunori
Massera criterion for linear functional equations in a framework of hyperfunctions
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Abstract:
We introduce a sheaf of bounded hyperfunctions at infinity in one variable, and consider periodic linear functional equations. We show that a Massera type theorem holds in this framework. Moreover we consider its vector-valued variants and give applications to partial differential equations periodic with respect to one variable.
Keywords: Strongly stable bundle, homogeneous space, Levi quotient
Mathematics Subject Classification (2000): Primary 32A45; Secondary 34K13.
Mathematical Reviews Number: MR2422588
Received: 2007-11-30
