Download Harmonic Analysis and Partial Differential Equations: Essays by Michael Christ, Carlos E. Kenig, Cora Sadosky PDF

By Michael Christ, Carlos E. Kenig, Cora Sadosky

Alberto P. Calderón (1920-1998) used to be one among this century's prime mathematical analysts. His contributions, characterised by means of nice originality and intensity, have replaced the best way researchers technique and examine a wide selection of themes in arithmetic and its functions, together with harmonic research, partial differential equations, and intricate research, in addition to in additional utilized fields similar to sign processing, geophysics, and tomography. additionally, he helped outline the "Chicago tuition" of research, which continues to be influential to today.

In 1995, greater than three hundred mathematicians from world wide accrued in Chicago for a convention on harmonic research and partial differential equations held in Calderón's honor. This quantity originated in papers given there and offers well timed syntheses of a number of significant fields of arithmetic in addition to unique study articles contributed by means of a number of the most interesting students operating in those parts. a big addition to the literature, this booklet can be welcomed via researchers in those and different comparable fields.

Show description

Read Online or Download Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics) PDF

Similar differential equations books

Nonlinear ordinary differential equations: Problems and solutions

A fantastic significant other to the hot 4th version of Nonlinear traditional Differential Equations through Jordan and Smith (OUP, 2007), this article includes over 500 difficulties and fully-worked ideas in nonlinear differential equations. With 272 figures and diagrams, topics coated contain section diagrams within the aircraft, class of equilibrium issues, geometry of the section airplane, perturbation tools, pressured oscillations, balance, Mathieu's equation, Liapunov tools, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's technique.

Introduction to Partial Differential Equations. Second Edition

The second one version of creation to Partial Differential Equations, which initially seemed within the Princeton sequence Mathematical Notes, serves as a textual content for arithmetic scholars on the intermediate graduate point. The aim is to acquaint readers with the basic classical result of partial differential equations and to steer them into a few facets of the trendy conception to the purpose the place they are going to be outfitted to learn complex treatises and study papers.

Solitons and the inverse scattering transform

A research, via of the foremost individuals to the idea, of the inverse scattering remodel and its software to difficulties of nonlinear dispersive waves that come up in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice concept, nonlinear circuit idea and different components.

Analytical Solution Methods for Boundary Value Problems

Analytical resolution tools for Boundary worth difficulties is an largely revised, new English language version of the unique 2011 Russian language paintings, which gives deep research equipment and special recommendations for mathematical physicists trying to version germane linear and nonlinear boundary difficulties.

Additional info for Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics)

Example text

74 (1977), 1324-1327. Chapter 1: Calderon and Zygmund's Theory of Singular Integrals 22 [10] A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. [11] [12] , On singular integrals, Amer. J. Math. 78 (1956), 289-309. , Algebras of certain singular integrals, Amer. J. Math. 78 (1956), 310-320. , Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 801-821. [13] [14] A. P. Calderon and R. Vaillancourt, A class of bounded pseudo- differential operators, Proc.

To appear 1999. [19] M. Christ and J. L. Rubio de Francia, Weak-type (1,1) bounds for rough operators II, Invent. Math. 93 (1988), 225-237. [20] R. R. Coifman, A. McIntosh, and Y. Meyer, L'integrale de Cauchy sur les courbes lipschitziennes, Ann. of Math. 116 (1982), 361-387. [21] R. R. Coifman and Y. Meyer, Au-dela des operateurs pseudo-diferentiels, Asterisque no. 57, Societe Math. de France. [22] R. R. Coifman and G. Weiss, Analyse harmonique non-commutative sur certains espaces homogenes, Lecture Notes in Math.

This allows one to transfer information from the dyadic martingales to the differentiation averages and vice versa. References [1] G. D. Birkhoff, Proof of the ergodic theorem, Proc. Nat. Acad. Sci. USA 17 (1931), 656-660. [2] K. Yosida and S. Kakutani, Birkhof's ergodic theorem and the maximal ergodic theorem, Proc. Imp. Acad. Tokyo 15 (1939), 165-168. [3] N. Wiener, The ergodic theorem, Duke Math. J. 5 (1939), 1-18. [4] G. H. Hardy and J. E. Littlewood, A maximal theorem with functiontheoretic applications, Acta Math.

Download PDF sample

Rated 4.71 of 5 – based on 4 votes