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Field name	Details
Dewey Class	515
Title	Singularities in Linear Wave Propagation ([EBook]) / by Lars Gårding.
Author	Gårding, Lars. , 1919-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1987.
Physical Details	VI, 126 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1241
ISBN	9783540472162
Summary Note	These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition.:
Contents note	Singularities in linear wave propagation -- Hyperbolic operators with constant coefficients -- Wave front sets and oscillatory integrals -- Pseudodifferential operators -- The Hamilton-Jacobi equation and symplectic geometry -- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator -- Changes of variables and duality for general oscillatory integrals -- Sharp and diffuse fronts of paired oscillatory integrals.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0073088
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Authors: Gårding, Lars. 1919- . Gårding, Lars, 1919- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Singularities in Linear Wave Propagation

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