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.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
15
号
1
ページ
15 - 51
発行年
2008-03-21
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathmatical Subject Classification
32A45 (MSC2000)
34K13(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
2007-11-30
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Massera criterion for linear functional equations in a framework of hyperfunctions
jms150102.pdf
(286.04KB)
