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基本説明
Consists of a series of lecture notes on mathematical analysis. Contents: Integral Representations in Complex, Hypercomplex and Clifford Analysis; Geometric Evolution Problems; Spectral Analysis of the Laplace Operator and Integral Geometry; Average Decay of the Fourier Transform and Applications to Harmonic Analysis and Geometric Measure Theory; and more.
Full Description
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts.
Contents
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).
