عنوان

Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane /

شابک

3037191228

شابک

9783037191224

شماره

dltt

عنوان اصلي

Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane /

نام عام مواد

[Book]

نام نخستين پديدآور

Bogdan Jojarski, Vladimir Gutlllyanskii, Olli Martio, Vladimir Ryazanov.

نام خاص و کميت اثر

ix, 205 pages ;

ابعاد

25 cm.

عنوان فروست

EMS tracts in mathematics ;

مشخصه جلد

19

متن يادداشت

Includes bibliographical references (pages 185-201) and index.

متن يادداشت

1. Background of the theory -- 2. Conformal invariants -- 3. Definitions of quasiconformal maps -- 4. Compactness and convergence theory -- 5. Beltrami differential equation -- 6. Infinitesimal space -- 7. Asymptotically conformal curves -- 8. Conformal differentiability -- 9. Points of maximal stretching -- 10. Lipschitz continuity of quasiconformal maps -- 11. Regularity of quasiconformal curves -- 12. Regularity of conformal maps at the boundary -- 13. John's rotation problem -- 14. Variation of quasiconformal maps -- 15. Criteria of univalence.

بدون عنوان

0

متن يادداشت

This book is intended for researchers interested in new aspects of local behavior of plane mappings and their applications. The presentation is self-contained, but the reader is assumed to know basic complex and real analysis. The study of the local and boundary behavior of quasiconformal and bi-Lipschitz mappings in the plane forms the core of the book. The concept of the infinitesimal space is used to investigate the behavior of a mapping at points without differentiability. This concept, based on compactness properties, is applied to regularity problems of quasiconformal mappings and quasiconformal curves, boundary behavior, weak and asymptotic conformality, local winding properties, variation of quasiconformal mappings, and criteria of univalence. Quasiconformal and bi-Lipschitz mappings are instrumental for understanding elasticity, control theory and tomography and the book also offers a new look at the classical areas such as the boundary regularity of a conformal map. Complicated local behavior is illustrated by many examples. The text offers a detailed development of the background for graduate students and researchers. Starting with the classical methods to study quasiconformal mappings, this treatment advances to the concept of the infinitesimal space and then relates it to other regularity properties of mappings in Part II. The new unexpected connections between quasiconformal and bi-Lipschitz mappings are treated in Part III. There is an extensive bibliography -- P. 4 of cover.

موضوع مستند نشده

Conformal mapping.

موضوع مستند نشده

Geometric analysis.

موضوع مستند نشده

Quasiconformal mappings.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Bojarski, Bogdan

مستند نام اشخاص تاييد نشده

Gutlyanskii, Vladimir

مستند نام اشخاص تاييد نشده

Martio, O., (Olli)

مستند نام اشخاص تاييد نشده

Ryazanov, Vladimir

تاريخ عمليات

20131221151025.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y