Current Trends in Analysis and Its Applications

Proceedings of the 9th ISAAC Congress, Kraków 2013
2015
ISBN: 978-3-319-12576-3
Verlag: Springer International Publishing

Buch, Englisch, 892 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 13446 g

Reihe: Trends in Mathematics

This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:

- Differential Equations: Complex and Functional Analytic Methods

- Nonlinear PDE

- Qualitative Properties of Evolution Models

- Differential and Difference Equations

- Toeplitz Operators

- Wavelet Theory

- Topological and Geometrical Methods of Analysis

- Queueing Theory and Performance Evaluation of Computer Networks

- Clifford and Quaternion Analysis

- Fixed Point Theory

- M-Frame Constructions

- Spaces of Differentiable Functions of Several Real Variables

Generalized Functions

- Analytic Methods in Complex Geometry

- Topological and Geometrical Methods of Analysis

- Integral Transforms and Reproducing Kernels

- Didactical Approaches to Mathematical Thinking

Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen.

Zielgruppe

Research

Autoren/Hrsg.

Ruzhansky, Michael V.

Mityushev, Vladimir V.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1) complex variables and potential theory.- 2) differential equations: complex and functional analytic methods, applications.- 3) methods for applied sciences.- 4) clifford and quaternion analysis.- 5) spaces of differentiable functions of several real variables and applications.- 6) generalized functions.- 7) qualitative properties of evolution models.- 8) nonlinear infinite dimensional evolutions and control theory with applications.- 9) nonlinear pde and fixed point theory, topological and geometrical methods of analysis.- 10) didactical approaches to mathematical thinking.- 11) integral transforms and reproducing kernels.- 12) pseudo-differential operators.- 13) toeplitz operators and their applications.- 4) approximation theory and fourier analysis.- 15) differential and difference equations with applications.- 16) analytic methods in complex geometry.- 17) applications of queueing theory in modelling and performance evaluation of computer networks.