Overview

This collection of survey articles gives and idea of new methods and results in real and complex analysis and its applications. Besides several chapters on hyperbolic equations and systems and complex analysis, potential theory, dynamical systems and harmonic analysis are also included. Newly developed subjects from power geometry, homogenization, partial differential equations in graph structures are presented and a decomposition of the Hilbert space and Hamiltonian are given. Audience: Advanced students and scientists interested in new methods and results in analysis and applications.

Full Product Details

Author:   Heinrich G.W. Begehr ,  R.P. Gilbert ,  Man-Wah Wong
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2003
Volume:   10
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.510kg
ISBN:  

9781441952479

ISBN 10:   1441952470
Pages:   318
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. Decay and computability.- 2. Differential and pseudo-differential operators on graphs as models of mesoscopic systems.- 3. Homogenization of some multiparametric problems.- 4. Power geometry as a new calculus.- 5. A survey of Q-spaces and Q#-classes.- 6. Hyperbolically convex functions.- 7. Nevanlinna theory in characteristic P and applications.- 8. A new property of meromorphic functions and its applications.- 9. Complex zero decreasing sequences and the Riemann hypothesis II.- 10. Theory of reproducing kernels.- 11. Analytic functions and analytic functionals on some balls in the complex Euclidean space.- 12. Batteries and energy minimization problems.- 13. Vector-valued extentions of some classical theorems in harmonic analysis.- 14. Chaotic zone in the Bogdanov-Takens bifurcation for diffeomorphisms.- 15. Carleman estimates for a plate equation on a Riemann manifold with energy level terms.- 16. Hyperbolicity for systems.- 17. Strictly hyperbolic operators and approximate energies.- 18. Multiple highly oscillatory shock waves.- 19. Exponential time decay solutions of Schrödinger equations and of wave equations in even dimensional spaces.- 20. Inverse scattering for a small nonselfadjoint perturbation of the wave equation.

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