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