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.
Read Online or Download Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics) PDF
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Additional info for Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto P. Calderon (Chicago Lectures in Mathematics)
74 (1977), 1324-1327. Chapter 1: Calderon and Zygmund's Theory of Singular Integrals 22  A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139.   , 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.   A. P. Calderon and R. Vaillancourt, A class of bounded pseudo- differential operators, Proc.
To appear 1999.  M. Christ and J. L. Rubio de Francia, Weak-type (1,1) bounds for rough operators II, Invent. Math. 93 (1988), 225-237.  R. R. Coifman, A. McIntosh, and Y. Meyer, L'integrale de Cauchy sur les courbes lipschitziennes, Ann. of Math. 116 (1982), 361-387.  R. R. Coifman and Y. Meyer, Au-dela des operateurs pseudo-diferentiels, Asterisque no. 57, Societe Math. de France.  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  G. D. Birkhoff, Proof of the ergodic theorem, Proc. Nat. Acad. Sci. USA 17 (1931), 656-660.  K. Yosida and S. Kakutani, Birkhof's ergodic theorem and the maximal ergodic theorem, Proc. Imp. Acad. Tokyo 15 (1939), 165-168.  N. Wiener, The ergodic theorem, Duke Math. J. 5 (1939), 1-18.  G. H. Hardy and J. E. Littlewood, A maximal theorem with functiontheoretic applications, Acta Math.