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Calculation of Local Petrovskiĭ Cycles and Enumeration of Local Lacunas Close to Real Function Singularities

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 315))

Abstract

In this chapter we express the local Petrovskii cycles of strictly hyperbolic operators in the standard terms of singularity theory, and find the local lacunas close to many singularities of wave fronts. All the ingredients of the lacuna problem for such operators are reformulated in terms of the singularity theory of functions, so that this chapter can be read independently of the previous one

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© 1995 Springer Science+Business Media Dordrecht

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Vassiliev, V.A. (1995). Calculation of Local Petrovskiĭ Cycles and Enumeration of Local Lacunas Close to Real Function Singularities. In: Ramified Integrals, Singularities and Lacunas. Mathematics and Its Applications, vol 315. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0213-1_5

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  • DOI: https://doi.org/10.1007/978-94-011-0213-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4095-2

  • Online ISBN: 978-94-011-0213-1

  • eBook Packages: Springer Book Archive

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