Ebook: Analysis and Applications — ISAAC 2001
Author: I. Antoniou Z. Suchanecki (auth.) Heinrich G. W. Begehr Robert P. Gilbert Man Wah Wong (eds.)
- Tags: Partial Differential Equations, Functions of a Complex Variable, Applications of Mathematics, Special Functions, Potential Theory
- Series: International Society for Analysis Applications and Computation 10
- Year: 2003
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
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.
Content:
Front Matter....Pages i-x
Decay and Computability....Pages 1-6
Differential and Pseudo-differential Operators on Graphs as Models of Mesoscopic Systems....Pages 7-30
Homogenization of Some Multiparametric Problems....Pages 31-49
Power Geometry as a New Calculus....Pages 51-71
A Survey of Q—Spaces and Q #-Classes....Pages 73-87
Hyperbolically Convex Functions....Pages 89-95
Nevanlinna Theory in Characteristic P and Applications....Pages 97-107
A New Property of Meromorphic Functions and Its Applications....Pages 109-120
Complex Zero Decreasing Sequences and the Riemann Hypothesis II....Pages 121-134
Theory of Reproducing Kernels....Pages 135-150
Analytic Functions and Analytic Functionals on Some Balls in the Complex Euclidean Space....Pages 151-159
Batteries and Energy Minimization Problems....Pages 161-169
Vector-Valued Extentions of Some Classical Theorems in Harmonic Analysis....Pages 171-185
Chaotic Zone in the Bogdanov-Takens Bifurcation for Diffeomorphisms....Pages 187-197
Carleman Estimates for a Plate Equation on a Riemann Manifold with Energy Level Terms....Pages 199-236
Hyperbolicity for Systems....Pages 237-252
Strictly Hyperbolic Operators and Approximate Energies....Pages 253-277
Multiple Highly Oscillatory Shock Waves....Pages 279-291
Exponential Time Decay Solutions of Schr?dinger Equations and of Wave Equations in Even Dimensional Spaces....Pages 293-301
Inverse Scattering for a Small Nonselfadjoint Perturbation of the Wave Equation....Pages 303-316
Back Matter....Pages 317-317
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.
Content:
Front Matter....Pages i-x
Decay and Computability....Pages 1-6
Differential and Pseudo-differential Operators on Graphs as Models of Mesoscopic Systems....Pages 7-30
Homogenization of Some Multiparametric Problems....Pages 31-49
Power Geometry as a New Calculus....Pages 51-71
A Survey of Q—Spaces and Q #-Classes....Pages 73-87
Hyperbolically Convex Functions....Pages 89-95
Nevanlinna Theory in Characteristic P and Applications....Pages 97-107
A New Property of Meromorphic Functions and Its Applications....Pages 109-120
Complex Zero Decreasing Sequences and the Riemann Hypothesis II....Pages 121-134
Theory of Reproducing Kernels....Pages 135-150
Analytic Functions and Analytic Functionals on Some Balls in the Complex Euclidean Space....Pages 151-159
Batteries and Energy Minimization Problems....Pages 161-169
Vector-Valued Extentions of Some Classical Theorems in Harmonic Analysis....Pages 171-185
Chaotic Zone in the Bogdanov-Takens Bifurcation for Diffeomorphisms....Pages 187-197
Carleman Estimates for a Plate Equation on a Riemann Manifold with Energy Level Terms....Pages 199-236
Hyperbolicity for Systems....Pages 237-252
Strictly Hyperbolic Operators and Approximate Energies....Pages 253-277
Multiple Highly Oscillatory Shock Waves....Pages 279-291
Exponential Time Decay Solutions of Schr?dinger Equations and of Wave Equations in Even Dimensional Spaces....Pages 293-301
Inverse Scattering for a Small Nonselfadjoint Perturbation of the Wave Equation....Pages 303-316
Back Matter....Pages 317-317
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