"Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
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...a pleasant introduction to the subject.
---Mathematical Reviews (2000)
---Mathematical Reviews (2000)
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Inside This Book
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First Sentence:
In this chapter we will introduce the first object necessary for the study of Microlocal Analysis, as developed by the Japanese school, namely the sheaf of hyperfunctions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
zero hyperfunction, supported hyperfunctions, microlocal operators, wedge theorem, microfunction solutions, microdifferential operators, infinite order differential operators, infinitesimal wedge, hyperfunction solutions, hyperfunction theory, microdifferential equations, analytic wave front set, infinite order differential equations, bicharacteristic strips, flabby sheaf, sheaf homomorphism, real analytic coefficients, locally free resolution, sing supp, analytic functionals, relative cohomology, relative covering, singular support, complex neighborhood, open convex cone Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sato's Fundamental Principle, University of Tokyo New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this chapter we will introduce the first object necessary for the study of Microlocal Analysis, as developed by the Japanese school, namely the sheaf of hyperfunctions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
zero hyperfunction, supported hyperfunctions, microlocal operators, wedge theorem, microfunction solutions, microdifferential operators, infinite order differential operators, infinitesimal wedge, hyperfunction solutions, hyperfunction theory, microdifferential equations, analytic wave front set, infinite order differential equations, bicharacteristic strips, flabby sheaf, sheaf homomorphism, real analytic coefficients, locally free resolution, sing supp, analytic functionals, relative cohomology, relative covering, singular support, complex neighborhood, open convex cone Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sato's Fundamental Principle, University of Tokyo New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 59
books:
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- Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday. VOLUME II by Masaki Kashiwara in Back Matter (1), Back Matter (2), and Back Matter (3)
- Set Theory by Thomas Jech in Front Matter (1), and Front Matter (2)
- Fourier Analysis in Several Complex Variables (Dover Books on Mathematics) by Leon Ehrenpreis on page 41, and Back Matter
- Introduction to Set Theory, Third Edition, Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics) by Karel Hrbacek in Front Matter (1), and Front Matter (2)
- Calculus in Vector Spaces (Chapman & Hall/CRC Pure and Applied Mathematics) by Lawrence Corwin in Front Matter (1), and Front Matter (2)
See all 59 books this book cites
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