Topics in mathematical analysis / edited by Paolo Ciatti ... [and others].

Format:

Book

Contributor:

Ciatti, Paolo.

Louis A. Duhring Fund.

Series:

Series on analysis, applications and computation 1793-4702 ; v. 3.

Series on analysis, applications and computation, 1793-4702 ; v. 3

Language:

English

Subjects (All):

Mathematical analysis.

Physical Description:

x, 449 pages : illustrations ; 24 cm.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, [2008]

Summary:

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)

Contents:

Complex variables and potential theory 1

1 Integral representations in complex, hypercomplex and Clifford analysis / H. Begehr 3

2 Nonlinear potential theory in metric spaces / O. Martio 29

Differential equations and nonlinear analysis 61

3 An introduction to mean curvature flow / G. Bellettini 63

4 Introduction to bifurcation theory / P. Drabek 103

5 A nonlinear eigenvalue problem / P. Lindqvist 175

6 Nonlinear elliptic equations with critical and supercritical Sobolev exponents / D. Passaseo 205

7 Eigenvalue analysis of elliptic operators / G. Rozenblum 227

8 A glimpse of the theory of nonlinear semigroups / E. Vesentini 257

Harmonic analysis 279

9 Integral geometry and spectral analysis / M. Agranovsky 281

10 Fourier analysis and geometric combinatorics / A. Iosevich 321

11 Lectures on eigenfunctions of the Laplacian / C. D. Sogge 337

12 Five lectures on harmonic analysis / F. Soria 361

13 Fractal analysis, an approach via function spaces / H. Triebel 413.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Louis A. Duhring Fund.

ISBN:

9812811052

9789812811059

OCLC:

225820431