Foundations of Algebraic Analysis (PMS-37), Volume 37 /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kashiwara, Masaki (Autor), Kawai, Takahiro (Autor), Kimura, Tatsuo (Autor)
Otros Autores: Kato, Goro
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2017]
Colección:Princeton Mathematical Series ; 5158
Temas:
Algebra.
Mathematical analysis.
MATHEMATICS / General.
Abstract algebra.
Algebraic Method.
Algebraic analysis.
Algebraic equation.
Analytic continuation.
Analytic function.
Analytic manifold.
Antiderivative.
Associative property.
Bochner's theorem.
Boundary value problem.
Cauchy problem.
Cauchy's integral formula.
Cauchy's integral theorem.
Cauchy-Riemann equations.
Characterization (mathematics).
Cohomology.
Commutative diagram.
Commutative property.
Compactification (mathematics).
Complex conjugate.
Complex manifold.
Complexification (Lie group).
Complexification.
Computation.
Contact geometry.
Continuous function (set theory).
Continuous function.
Convex set.
Cover (topology).
David Hilbert.
Diagram (category theory).
Differential equation.
Differential operator.
Domain of a function.
Elliptic partial differential equation.
Epimorphism.
Equation.
Euler's formula.
Exact sequence.
Existential quantification.
Fourier series.
Fubini's theorem.
Function (mathematics).
Functional equation.
Fundamental solution.
Fundamental theorem.
General linear group.
Geometric transformation.
Group homomorphism.
Hamilton-Jacobi equation.
Hausdorff space.
Holomorphic function.
Homeomorphism.
Homomorphism.
Hyperbolic partial differential equation.
Hyperfunction.
Initial value problem.
Inner automorphism.
Integral curve.
Interval (mathematics).
Lie derivative.
Linear space (geometry).
Mathematical induction.
Mathematical physics.
Meromorphic function.
Metric space.
Monomorphism.
Morphism.
Nine lemma.
Open set.
Operator (physics).
Poisson bracket.
Polar set.
Polynomial.
Power series.
Presheaf (category theory).
Principal bundle.
Proper map.
Quadratic form.
Ring (mathematics).
Series (mathematics).
Set (mathematics).
Sheaf (mathematics).
Sign (mathematics).
Singularity spectrum.
Special case.
Stein manifold.
Submanifold.
Subset.
Support (mathematics).
Symplectic manifold.
Tensor product.
Theorem.
Topological space.
Topology.
Transversal (geometry).
Variable (mathematics).
Weierstrass preparation theorem.
Zorn's lemma.
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