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Contact Geometry and Linear Differential Equations.

Contact Geometry And Linear Differential Equations (Manuels De Linguistique Et Des Sciences De Communication).

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nazaĭkinskiĭ, V. E.
Otros Autores: Shatalov, V. E. (Viktor Evgenʹevich), Sternin, Boris Y.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 1992.
Colección:De Gruyter expositions in mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction; Chapter I Homogeneous functions, Fourier transformation, and contact structures; 1. Integration on manifolds; 2. Analysis on RPn and smooth homogeneous functions on R*n+1; 3. Homogeneous and formally homogeneous distributions; 4. Fourier transformation of homogeneous functions; 5. Homogeneous symplectic and contact structures; 6. Functorial properties of the phase space and local representation of Lagrangian manifolds. The classification lemma; Chapter II Fourier-Maslov operators; 1. Maslov's canonical operator (R*-equivariant theory); 2. Fourier-Maslov integral operators
  • 3. Singularities of hyperbolic equations examples and applications; Chapter III Applications to differential equations; 1. Equations of principal type; 2. Microlocal classification of pseudodifferential operators; 3. Equations of subprincipal type; References; Index