Research Area: Fourier Analysis and its Applications
PUBLICATIONS
The Marcinkiewicz multiplier theorem for H^1 on the circle, in prepartation.
A Marcinkiewicz condition for dyadic H^1, in preparation.
Two dimensional Walsh multipliers, accepted – J. Math Anal & Appl.. (w/ S. Fridli).
Trigonometric multipliers on H^1(T), Canad. Math Bulletin 48-3 (2005) 370-381.(with S. Fridli)
H^p multipliers on the dyadic field, Ann. U. Sci. Budapest, Sect. Comp 24 (2004), 275-284. (w/S. Fridli).
Translation invariant operators on Hardy spaces for Vilenkin groups, Acta. Math. Acad. P. N. 20 (2004), 131-140. (w/ S. Fridli).
Walsh multipliers for dyadic Hardy spaces, Journal of Applicable Analysis 82 (2003), #7, 689-700. (with S. Fridli)
"Topics in Hardy Spaces for Vilenkin Groups of Bounded Order", in "Functions, Series, Operators, Alexits Memorial Conference", ed. L. Leindler, F. Schipp, J. Szabados, Janos Bolyai Mathematical Society, Budapest Hungary, 2002, 167-180. (with Keith Phillips)
Classification of Calderon-Zygmund Operators with Convolution Kernels, Journal of Harmonic Analysis and Its Applications 5 (4), 1999, 303-308.
Multipliers and Square Functions for Hardy Spaces on Vilenkin Groups (with K. Phillips), Analysis of Divergence – Control and Management of Divergent Processes, ed. Bray and Stanojevic, 1999, p. 171-186.
A Note on H1 Multipliers for Locally Compact Vilenkin Groups (with K. Phillips), Canadian Mathematical Bulletin 41 (4), 1998, 392-397.
Walsh Multipliers and Square Functions for the Hardy Space H1 (with K. Phillips), Acta. Math. Hungaria. 79 (4), 1998, 327-343.
The Mathematics Learning Center, Education, Winter 1994, 191–194, Vol. 115 #2.
BMO and Singular Integrals over Local Fields, J. Aust. Math. Soc., Vol. 54, Series A(1993), 321-333, (with D. Kurtz).
New stopping rule for Fourier series and transect sampling, 10th Pacific Coast Modeling Conference Proceedings, June 1991, Arcata, CA (with L. Rogers).
On the classification of homogeneous multipliers bounded on H1(R2), The Proceedings of the AMS, 106 (1989), 685-696, (with Keith Phillips).
Factorizations of Hardy spaces of simple martingales, Tamkang J. of Math., 19 (1988), 57-65, (with J. Chao and H. Ombe).
Factorization of Hp and singular integrals over local fields, Math. Ann., 282 (1988), 243-250.
The construction of optimal histograms, Comm. in Statistics, Theory and Methods, 17 (1988), 2921-2931.
An improved Kelker method for transect sampling, Mathematical Models of Renewable Resources, 3 (1984), 185-189.
On the necessity of the Hormander condition of the multipliers on Hp(Rn), Proc. Amer. Math Soc., 88 (1983), 321-325.
On Singular integrals, multipliers, Hp, and Fourier series - the local field phenomenon, Math. Ann., 265 (1983), 181-219, (with K. Phillips).
Singular integral multipliers on local fields, Proceedings of Symposia in Pure Mathematics XXXV, Harmonic Analysis on Euclidean Spaces, Amer. Math. Soc. (1979), 333-335.
Local field singular integrals with complex homogeneity, Math. Ann., 218 (1976), 117-126.
Algebras of special singular integrals over local fields, Math. Ann., 215 (1975), 59-68.
The invalidity of the Calderon-Zygmund inequality for singular integrals over local fields, Bulletin of the American Mathematical Society, 81 (1975), 896-899.