Translations of Mathematical Monographs 1993; 273 pp; hardcover Volume: 129 ISBN10: 0821845713 ISBN13: 9780821845714 List Price: US$112 Member Price: US$89.60 Order Code: MMONO/129
 This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and Smatrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research. Readership Graduate students and research mathematicians. Reviews "Many concrete examples illustrate the theory and make the book a valuable text for beginners."  Zentralblatt MATH "Morimoto's classical approach is ... valuable ... as a necessary complement to more abstract presentations of the subject"  Mathematical Reviews Table of Contents  Fundamental properties of holomorphic functions
 Analytic functionals of one variable
 Hyperfunctions of one variable
 Cohomology groups with coefficients in a sheaf
 Cohomology groups with coefficients in \({\mathcal O}\)
 Analytic functionals of several variables
 Hyperfunctions of several variables
 Microfunctions
 Development of hyperfunction theory
 Appendix A. Linear topological spaces
 Appendix B. Rudiments of homological algebra
 Appendix C. Bibliographical notes
