Ivo Klemes
B.Sc. (Toronto), Ph.D. (Caltech.)
klemes@math.mcgill.ca

Tel: (514) 398-3829


Research Interests | Publications | Invited Lectures | Graduate Students | Courses taught << Back 

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Dept. of Mathematics, McGill University
Burnside Hall, 805 Sherbrooke St. W.
Montreal, Que. H3A 2K6


RESEARCH INTERESTS

Harmonic analysis (classical): trigonometric series, Fourier transforms, multiplier operators, Littlewood-Paley theory, harmonic functions on R^n , Hardy spaces, square functions, and connections to probability theory and to ergodic theory.


PUBLICATIONS


Recent Journal Articles

[14]. Klemes, I. Examples of Lambda(4) sets E and a graph structure in E X E, Studia Math. 133 (2) (1999), 101-120.

[13]. Dooley, A. H., Klemes, I. and Quas, A. N. Product and Markov measures of type III, J. Austral. Math. Soc.(Series A) 64 (1998), 84- 110.

[12]. Klemes, I. and Reinhold, K. Rank one transformations with singular spectral type, Israel J. of Math., 98 (1997), 1-14.

[11]. Klemes, I. The spectral type of the staircase transformation, Tohoku Math. J., 48 (1996), 247-258.

[10]. Hare, K.E. and Klemes, I. On permutations of acunary intervals, Trans. Am. Math. Soc., 347, 10 (1995) 4105-4127.

[9]. Klemes, I. A note on Hardy's inequality, Can. Math. Bull. Vol.36, 4, (1993) 442-448.

[8]. Hare, K.E. and Klemes, I. A new type of Littlewood-Paley partition, Arkiv for Mat. 30, 2 (1992) 297-309.

[7]. Banuelos, R., Klemes, I., Moore, C. The lower bound in the law of the iterated logarithm for harmonic functions, Duke Math. J. 60. 3 (1990) 689-715.


INVITED LECTURES


Recent presentations

20. Analysis Seminar, U. of New South Wales, 1994, On 1-norms of exponential sums.

21. Colloquium, U. of Hawaii, 1994, On 1-norms of exponential sums.

22. Analysis Seminar, University of Wollongong, Australia, 1995, On p- norms of Fejer's kernel.

23. Seminar in Pure Mathematics, University of N.S.W., Australia, 1996, On p-norms of exponential sums.

24. Colloquium, Michigan State U., East Lansing, 1996, Conjectures on Partial Orderings of Distribution Functions of Exponential Sums on the Circle.

25. Invited speaker (30 min) Colloque de Sciences Mathématiques du Québec, Montreal, October 1998, Szego's theorem with a constraint parameter.

26. McGill Statistics Seminar, October 1999, Open problems on certain matrices of zeros and ones.


GRADUATE STUDENTS



Currently: 1 PhD
Completed: 3 PhD's(1 co-supervised), 6 Masters (1 co-supervised)


COURSES


(Undergraduate)
  • Calculus I and II, 2 semesters, McGill. This required coordinating over 500 students in 17 tutorials.
  • Advanced Calculus, 1 semester, McGill (coordinator for 270 students)
  • Complex Analysis, 3 semesters, McGill
  • Complex Variables & Transforms, 5 semesters, McGill
  • Introduction to Probability, 1 semester, University of Hawaii
  • Ordinary Differential Equations, 4 semesters, McGill
  • Analysis, 6 semesters, McGill, University of British Columbia
  • Calculus ("remedial"), 1 semester, University of British Columbia
(Graduate)
  • General Topology, 1 semester, McGill
  • Harmonic Analysis, 3 1/2 semesters, McGill
  • Functional Analysis, 1 semester, McGill
  • Advanced Complex Analysis, 1 semester, McGill
  • Advanced Real Analysis I & II, 2 semesters, McGill


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