A01=Masaki Kashiwara
A01=Takahiro Kawai
A01=Tatsuo Kimura
Abstract algebra
Age Group_Uncategorized
Age Group_Uncategorized
Algebraic analysis
Algebraic equation
Algebraic Method
Analytic continuation
Analytic function
Analytic manifold
Author_Masaki Kashiwara
Author_Takahiro Kawai
Author_Tatsuo Kimura
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B06=Goro Kato
Bochner's theorem
Boundary value problem
Category1=Non-Fiction
Category=PBF
Cauchy's integral formula
Cauchy's integral theorem
Cauchy-Riemann equations
Characterization (mathematics)
Cohomology
Commutative diagram
Commutative property
Compactification (mathematics)
Complex manifold
Complexification
Complexification (Lie group)
Contact geometry
Continuous function (set theory)
COP=United States
Cover (topology)
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Diagram (category theory)
Differential operator
Epimorphism
eq_isMigrated=2
eq_nobargain
Equation
Euler's formula
Exact sequence
Existential quantification
Fubini's theorem
Function (mathematics)
Functional equation
Fundamental solution
Fundamental theorem
General linear group
Group homomorphism
Hamilton-Jacobi equation
Holomorphic function
Homomorphism
Hyperbolic partial differential equation
Hyperfunction
Initial value problem
Inner automorphism
Interval (mathematics)
Language_English
Linear space (geometry)
Mathematical induction
Metric space
Nine lemma
Open set
Operator (physics)
PA=Temporarily unavailable
Presheaf (category theory)
Price_€100 and above
Principal bundle
PS=Active
Ring (mathematics)
Series (mathematics)
Set (mathematics)
Sheaf (mathematics)
Sign (mathematics)
Singularity spectrum
softlaunch
Submanifold
Subset
Support (mathematics)
Symplectic manifold
Theorem
Topological space
Topology
Transversal (geometry)
Variable (mathematics)
Weierstrass preparation theorem
Zorn's lemma
Product details
- ISBN 9780691654997
- Weight: 539g
- Dimensions: 152 x 235mm
- Publication Date: 21 Mar 2017
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device. The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press.
These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
