Long vita in .pdf
Short vita in .pdf
link to my papers on MathSciNet
1. Some applications of Cauchy integrals on curves, Ph.D.
dissertation, UCLA, 1986
2. The corona theorem for domains whose
boundary lies in a smooth curve, Proc. Amer. Math. Soc. 100
3. An analogue for harmonic functions of Kolmogorov's law of the iterated
logarithm, with Bañuelos, R., and Klemes, I.,
Duke J. Math. 57 (1988), 37-68.
results in analysis related to the law of the iterated
logarithm, with Bañuelos, R.,
Proceedings of the Special Year in Modern Analysis at the
University of Illinois, Berkson,
E., Peck, N.T. and Uhl, J.,
Editors, Cambridge University Press, (1989), 47-80.
estimates for the non-tangential maximal function and the Lusin area function on Lipschitz domains, with Bañuelos, R., Trans. Amer. Math. Soc.
312 (1989), 641-662.
6. Laws of
the iterated logarithm, sharp good- lambda inequalities and Lp -estimates for caloric and harmonic
functions, with Bañuelos, R., Indiana Univ. Math. J. 38
7. The lower bound in the law of the iterated logarithm for
harmonic functions, with Bañuelos,
R., and Klemes, I. Duke Math. J. 60 (1990), 1-27.
growth of Bloch functions and Makarov's
law of the iterated logarithm, with Bañuelos,
R., Proc. Amer. Math. Soc. 112 (1991), 851-854.
Distribution function inequalities for the density of the area
integral, with Bañuelos, R., Ann.
Inst. Fourier 41 (1991), 137-171.
inequalities for the density of the area integral, Partial
Differential Equations with minimal smoothness and applications,
IMA volumes in Mathematics and its applications, Springer-Verlag, 1992, pp. 189-198.
11. Certain lacunary
cosine series are recurrent, with Grubb, D.J., Studia Math. 108 (1) (1994), 21-23.
12. The equivalence of two conditions
for weight functions for martingales, with Chang, X.-Q.,
Statistics and Probability Letters 23 (1995), 129-133.
13. Recurrence for real lacunary series, Interaction
between Functional Analysis, Harmonic Analysis, and Probability,
Lecture Notes in Pure and Applied Mathematics 175, Marcel Dekker, 1996, pp. 365-374.
14. Estimates for the density
of the area integral, Potential Theory-ICPT 94, Walter de
Gruyter & Co., Berlin-New York, 1996.
15. A variant of Hörmander's condition for singular
integrals, with Grubb, D.J., Colloq. Math. 73 (2) (1997),
16. The Hele-Shaw problem as a ``Mesa" limit of
Stefan problems: Existence, uniqueness, and regularity of the
free boundary, with Blank, I. and Korten, M., Trans. Amer.
Math. Soc. 361, no. 3 (2009), 1241-1268.
17. Regularity for
solutions of the two-phase Stefan problem, with Korten,
M., Communications in Pure and Applied Analysis 7, no.3 (2008),
18. Existence, uniqueness and
regularity of the free boundary in the Hele-Shaw problem with
a degenerate phase, with Blank, I. and Korten, M.,
Contemporary Mathematics series of the American Mathematical
Society, volume 428, 2007, 33-42.
19. Fourier series and
the delta squared process, with Abebe, E. and Graber, J.,
The Journal of Computational and Applied Mathematics 224, no. 1
20. The Cauchy problem for
the two phase Stefan problem, with Korten, M.,
Communications in Applied Analysis 11, no. 1 (2007), 43-52.
21. Fourier series and the
Lubkin W-transform, with Bogess, J. and Bunch, E.,
Numerical Algorithms 47 (2008), 133-142.
Random walks, Ramamujan
Mathematical Society Mathematics Newsletter 17, no.3 (2007),
23. Uniqueness for solutions of
the two-phase Stefan problem with signed measures as data,
with Korten, M., Commun. Appl. Anal.
15 (2011), no.
24. Acceleration of Fourier
series, J. Analysis 17 (2009), 41-60.
25. A law of the iterated
logarithm for general lacunary series, with Zhang, X.,
Colloq. Math. 126 (2012), 95-103.
26. Fourier series acceleration and
Hardy-Littlewoood series, with Ciszewski, R., Gregory, J.,
and West, J., J.. Appl. Math. Inform., 31 (2013), 263-276.
27.The delta-squared process and
Fourier series of functions with multiple jumps, with
Jennings, E., Muñiz, D., and Toth, A., Inter. J.
Pure and Appl. Math. 88, No. 4 (2013), 483-497.
28. A lower bound in
the tail law of the iterated logarithm for lacunary
trigonometric series, Ghimire, S., Proc. Amer. Math. Soc.
142 (2014), 3207-3216.
29. A lower bound in the law
of the iterated logarithm for general lacunary series,
with Zhang, X., Studia Math. 222 (3) (2014), 207- 228.
Estimates in Probability and Harmonic Analysis, to appear
in Journal of Analysis
behavior of harmonic functions, with Bañuelos,
R., Birkhäuser Verlag, Basel, 1999.
Editor (with E. Gavosto, M.
Korten, and R. Torres) Harmonic analysis, partial
differential equations, and related topics, AMS
Contemporary Mathematics series #428, 2007.
Comprehensive Dictionary of Mathematics, CRC Press, Boca Raton, Florida, 2001. Wrote
over 150 definitions of mathematics terminology comprising over
35 pages of text.
Mathematical Reviews. Have written over 100
of mathematical literature.
Preliminary Wavelet Analysis of
Genomic Sequences, with Ning, J. and Nelson, J. Clare,
IEEE Computer Society Bioinformatics Conference (CSB'03),