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New formulas for the Maslov canonical operator near focal points and caustics and applications Sergey Dobrokhotov A.Ishlinskii Institute for Problem in Mechanics of Russian Academy of Sciences Common work With G.Makrakis, V.Nazaikinskii and T.Tudorovskii ACMAC, University of Crete 16-20 September 2013

New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral

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Page 1: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral

New formulas for the Maslovcanonical operator near focal points

and caustics and applicationsSergey Dobrokhotov

A.Ishlinskii Institute for Problem in Mechanics of RussianAcademy of Sciences

Common workWith G.Makrakis, V.Nazaikinskii and T.Tudorovskii

ACMAC, University of Crete

16-20 September 2013

Page 2: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 3: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 4: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 5: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral

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Page 6: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
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Page 8: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 9: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
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Page 11: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 12: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 13: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 14: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 15: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 16: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral
Page 17: New formulas for the Maslov canonical operator near focal ... · The Maslov canonical operator — Kh A: ASYMPTOTIC SOLUTIONS FOR EQUATIONS: Cauchy problem Scattering and spectral