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El. knyga: Topics In Mathematical Analysis

Edited by (Univ Di Padova, Italy), Edited by (Univ Di Padova, Italy), Edited by (Univ Di Padova, Italy), Edited by (Univ Di Modena E Reggio Emilia, Italy)
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Geared toward young researchers and graduate students, this series of lecture notes provides material delivered at the Minicorsi of Mathematical Analysis held at the U. of Padua from 2000 to 2003. Topics include complex variables and potential theory (featuring integral representations in a range of analyses methods and nonlinear potential theory in metric spaces), differential equations and nonlinear analysis (mean curvature flow, bifurcation theory, a nonlinear eigenvalue problem, nonlinear elliptic equations with critical and supercritical Sobolev exponents, eigenvalue analysis of elliptical operators and the theory of nonlinear semigroups), and harmonic analysis (integral geometry and spectral analysis, Fourier analysis and geometric combinatories, eigenfunctions of the Laplacian, fractal analysis via function spaces and five reviews of harmonic analysis techniques). These remarkably accessible lectures include references and the editors provide an author index. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
Complex Variables and Potential Theory: Integral Representations in
Complex, Hypercomplex and Clifford Analysis (H Begehr); Nonlinear Potential
Theory in Metric Spaces (O Martio); Differential Equations and Nonlinear
Analysis: Geometric Evolution Problems (G Bellettini); Introduction to
Bifurcation Theory (P Drabek); Nonlinear Eigenvalue Problems (P Lindqvist);
Nonlinear Elliptic Equations with Critical and Supercritical Sobolev
Exponents (D Passaseo); Discrete Spectrum Analysis of Elliptic Operators (G
Rozenblum); Introduction to Continuous Semigroups (E Vesentini); Harmonic
Analysis: Spectral Analysis of the Laplace Operator and Integral Geometry (M
Agranovsky); Average Decay of the Fourier Transform and Applications to
Harmonic Analysis and Geometric Measure Theory (A Losevich); Eigenfunctions
of the Laplacian (C D Sogge); An Introduction to Harmonic Analysis: From the
Basic Equations of the Physics to Singular and Oscillatory Integrals (F
Soria); Spectral Theory of Differential and Integral Operators Related to
Fractals and Metric Spaces (H Triebel).
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