Fourier integrals and a new representation of Maslov’s canonical operator near caustics

Spectral Theory and Differential Equations - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/233/06 ◽

2014 ◽

pp. 95-115 ◽

Cited By ~ 4

Author(s):

S. Yu. Dobrokhotov ◽

G. Makrakis ◽

V. E. Nazaikinskii

Keyword(s):

Canonical Operator ◽

Maslov’S Canonical Operator ◽

Fourier Integrals

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Maslov’s Canonical Operator

KAM Theory and Semiclassical Approximations to Eigenfunctions ◽

10.1007/978-3-642-76247-5_8 ◽

1993 ◽

pp. 242-293

Author(s):

Vladimir F. Lazutkin

Keyword(s):

Canonical Operator ◽

Maslov’S Canonical Operator

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On Maslov's canonical operator

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1381758787 ◽

1975 ◽

Vol 4 (1) ◽

pp. 8-38 ◽

Cited By ~ 9

Author(s):

Atsushi YOSHIKAWA

Keyword(s):

Canonical Operator ◽

Maslov’S Canonical Operator

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Maslov’s Canonical Operator (Complex Case)

Lagrangian Manifolds and the Maslov Operator - Springer Series in Soviet Mathematics ◽

10.1007/978-3-642-61259-6_7 ◽

1990 ◽

pp. 232-267

Author(s):

A. S. Mishchenko ◽

V. E. Shatalov ◽

B. Yu. Sternin

Keyword(s):

Complex Case ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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Maslov’s Canonical Operator and Hörmander’s Oscillatory Integrals

Quantization Methods in the Theory of Differential Equations ◽

10.1201/9781482265033-12 ◽

2002 ◽

pp. 127-154

Keyword(s):

Oscillatory Integrals ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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Maslov’s Canonical Operator (Real Case)

Lagrangian Manifolds and the Maslov Operator - Springer Series in Soviet Mathematics ◽

10.1007/978-3-642-61259-6_5 ◽

1990 ◽

pp. 183-207

Author(s):

A. S. Mishchenko ◽

V. E. Shatalov ◽

B. Yu. Sternin

Keyword(s):

Real Case ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics

Theoretical and Mathematical Physics ◽

10.1007/s11232-013-0123-0 ◽

2013 ◽

Vol 177 (3) ◽

pp. 1579-1605 ◽

Cited By ~ 18

Author(s):

S. Yu. Dobrokhotov ◽

G. N. Makrakis ◽

V. E. Nazaikinskii ◽

T. Ya. Tudorovskii

Keyword(s):

Two Dimensional ◽

Focal Points ◽

Semiclassical Asymptotics ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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Maslov’s canonical operator for degenerate hyperbolic equations

Russian Journal of Mathematical Physics ◽

10.1134/s1061920814020125 ◽

2014 ◽

Vol 21 (2) ◽

pp. 289-290 ◽

Cited By ~ 2

Author(s):

V. E. Nazaikinskii

Keyword(s):

Hyperbolic Equations ◽

Canonical Operator ◽

Degenerate Hyperbolic Equations ◽

Maslov’S Canonical Operator

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Modeling of Pulse Signals in 3D Propagation Problems of Deep-Water Acoustics Based on the Modified Maslov’s Canonical Operator

Russian Journal of Mathematical Physics ◽

10.1134/s1061920818010090 ◽

2018 ◽

Vol 25 (1) ◽

pp. 102-112 ◽

Cited By ~ 3

Author(s):

P. S. Petrov ◽

S. A. Sergeev ◽

A. A. Tolchennikov

Keyword(s):

Deep Water ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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Analogue of Maslov’s Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems

Doklady Mathematics ◽

10.1134/s1064562418020217 ◽

2018 ◽

Vol 97 (2) ◽

pp. 177-180 ◽

Cited By ~ 1

Author(s):

V. E. Nazaikinskii ◽

A. I. Shafarevich

Keyword(s):

Hyperbolic Equations ◽

Asymptotic Solutions ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold

Doklady Mathematics ◽

10.1134/s1064562416010300 ◽

2016 ◽

Vol 93 (1) ◽

pp. 99-102 ◽

Cited By ~ 3

Author(s):

S. Yu. Dobrokhotov ◽

V. E. Nazaikinskii ◽

A. I. Shafarevich

Keyword(s):

Lagrangian Manifold ◽

Canonical Operator ◽

Maslov’S Canonical Operator

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