Representation formulas for cosine and sine functions of operators

DOI10.1007/BF02189824zbMath0591.47028MaRDI QIDQ1074840

Chun-San Lee, Sen-Yen Shaw

Publication date: 1985

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137090

zbMATH Keywords

exponential formulas for one-parameter semigroupsstrongly continuous cosine and sine operator functions

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items

Representation formulas for cosine and sine functions of operators. II, Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Unnamed Item
• A representation formula for strongly continuous cosine families
• Ordinary differential equations in linear topological spaces. I
• On the Exponential Formulas of Semi-Group Theory.