Ramified integrals, singularities, and lacunas

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Ramified integrals, singularities, and lacunas / by V.A. Vassiliev

資料種別:: 図書
出版情報:: Dordrecht ; Boston : Kluwer Academic Publishers, c1995
形態:: xvii, 289 p. ; 25 cm
シリーズ名:: Mathematics and its applications ; v. 315 <BA00044495>
著者名:: Vasilʹev, V. A., 1956- <DA01674473>
ISBN:: 9780792331933 [0792331931]
書誌ID:: BA24426882

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注記:

Includes bibliography (p. 275-286) and subject index

主題:

Integral geometry; Integral transforms

言語:

英語

目次情報:

Introduction

Picard-Lefschetz-Pham theory and singularity theory / I：

Newton's theorem on the nonintegrability of ovals / II：

Newton's potential of algebraic layers / III：

Lacunas and the local Petrovskii condition for hyperbolic differential operators with constant coefficients / IV：

Calculation of local Petrovskii cycles and enumeration of local lacunas close to real function singularities / V：

a FORTRAN program searching for the lacunas and enumerating the morsifications of real function singularities / Appendix：

Bibliography

Index

Introduction

Picard-Lefschetz-Pham theory and singularity theory / I：

Newton's theorem on the nonintegrability of ovals / II：

Newton's potential of algebraic layers / III：

Lacunas and the local Petrovskii condition for hyperbolic differential operators with constant coefficients / IV：

Calculation of local Petrovskii cycles and enumeration of local lacunas close to real function singularities / V：

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