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Singularity theory and some problems of functional analysis

Author: S G Gindikin
Publisher: Providence, R.I. : American Mathematical Society, ©1992.
Series: American Mathematical Society translations, ser. 2, v. 153.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive development, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry and topology, complex analysis, invariant theory,  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: S G Gindikin
ISBN: 0821875027 9780821875025
OCLC Number: 956674583
Notes: Translated from Russian.
Description: 1 online resource.
Contents: Period maps connected with a versal deformation of a critical point of a function, and the discriminant Characteristic classes of singularities Lacunas of hyperbolic partial differential operators and singularity theory Reflection groups in singularity theory Qualitative analysis of singularly perturbed systems of chemical kinetics Bifurcations with symmetries Stratifications of function space and algebraic $K$-theory Singularities in optimization problems Nice dimensions and their generalizations in singularity theory On an inverse problem of measure theory Classes of coefficients of convergent random series in spaces $L_{p, q}$ Corner singularities and multidimensional folds in nonlinear analysis Newton polyhedra (algebra and geometry).
Series Title: American Mathematical Society translations, ser. 2, v. 153.
Responsibility: S.G. Gindikin, editor.

Abstract:

The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive development, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry and topology, complex analysis, invariant theory, and Lie group theory) meet the most applied topics (such as dynamical systems, mathematical physics, geometrical optics, mathematical economics, and control theory). The papers in thi.

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