Ken F. Andersen Professor Emeritus Ph.D., University of Toronto Office: CAB 569 Phone: (780) 492-0571 Fax: (780) 492-6826 Email: Research Interests My research interests are generally in the area of real and complex analysis but more particularly in harmonic and Fourier analysis on Euclidean n-space. The properties of various integral operators acting on spaces of measurable functions are frequently the object of investigation in this area and typically require the derivation of suitable estimates and inequalities for sums and integrals as well as the application of certain fundamental principles of functional analysis. In this way the harmonic and Fourier analysis of Euclidean spaces provides a setting in which the motivation and concreteness of classical problems in analysis are blended with the power and elegance of modern abstract techniques.   Selected Publications [1]  Weighted inequalities for maximal functions associated with general measures, Trans. Amer. Soc. 326 (1991), 907-920. [2] Weighted generalized Hardy inequalities for nonincreasing functions, Canad. J. Math. 43 (1991), 1121-1135. [3] Weighted inequalities for the Stieltjes transform and the spherical partial sum operator on radial functions, Proc. Royal Soc. Edinburgh 125A (1995), 195-204. [4] Weighted inequalities for convolutions, Proc. Amer. Math. Soc. 123 (1995), 1129-1136. [5] Cesaro averaging operators on Hardy spaces, Proc. Royal Soc. Edinburgh 126A (1996), 617-624. [6] Weighted inequalities for iterated convolutions, Proc. Amer. Math. Soc. 127 (1999), 2643-2651. [7] Boundedness of Hausdorff operators on Lp(Rn), H1(Rn), and BMO(Rn), Acta. Sci. Math. (Szeged) 69 (2003), 409-418. [8] Boundedness of the Cesaro averaging operators on Dirichlet spaces, Proc. Royal Soc. Edinburgh 134A (2004), 609-616. [9] (with P. Mohanty) Restriction and extension of Fourier multipliers between Lp spaces on Rn and Tn, Proc. Amer. Math. Soc. 137 (2009), 1689-1697.   Teaching Links Math 432 Home Page - Intermediate Differential Equations Department of Mathematical and Statistical Sciences University of Alberta 632 Central Academic Building Edmonton, AB T6G 2G1 Phone: 780.492.3396 Fax: 780.492.6826 Last modified 4.16.02