Adam Sikora
Department of Mathematical Sciences
New Mexico State University
P.O. Box 30001
Las Cruces
NM 88003-8001
USA
Fax: (505) 646 1064
Phone: (505) 646 6269
Research Interests
Linear Partial Differential Equations and Harmonic
Analysis, Analysis, Lie groups:
singular integrals,
spectral and Fourier multiplier theorems, Bochner-Riesz summability,
functional calculi and spectral analysis of
elliptic and sub-elliptic differential operators,
spectral analysis of operators with periodic or almost periodic
coefficients,
Riesz transforms, semi-groups of operators
and heat kernels, wave equation.
Research Output
Waldemar Hebisch and Adam Sikora
A smooth subadditive homogeneous norm on a
homogeneous group.
Studia Math.
96 (1990), no. 3,
231-236.
pdf.
Adam Sikora
Multiplicateurs
associés aux souslaplaciens sur les groupes homogènes.
(French) [Multiplier theorem for sub-Laplacians on
homogeneous groups]
C. R. Acad. Sci. Paris Sér. I Math.
315 (1992), no. 4, 417-419.
ps,
dvi,
pdf.
Adam Sikora
Metoda rownania fali w badaniu eliptycznych i podeliptycznych
operatorow rozniczkowych drugiego rzedu. (Polish)
[The method of wave equation in investigation of elliptic
and sub-elliptic second-order differential operators]
Ph.D. Thesis,
Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland (1994).
dvi,
pdf.
Adam Sikora
Sharp pointwise
estimates on heat kernels.
Quart. J. Math. Oxford Ser. (2)
47 (1996), no. 187, 371-382.
dvi,
pdf.
Adam Sikora
On-diagonal
estimates on Schrödinger semigroup kernels and reduced
heat kernels. Comm. Math. Phys. 188 (1997), no. 1,
233-249.
doi:10.1007/s002200050163
pdf.
A.F.M. ter Elst, Derek W. Robinson and
Adam Sikora
Heat kernels and Riesz transforms
on nilpotent Lie groups.
Colloq. Math. 74 (1997), no. 2,
191-218.
A.F.M. ter Elst, Derek W. Robinson and
Adam Sikora
Riesz transforms and Lie groups of
polynomial growth.
J. Funct. Anal. 162 (1999), no 1, 14-51.
doi:10.1006/jfan.1998.3361
dvi,
pdf.
Adam Sikora
On the $L\sp 2\to
L\sp \infty$ norms of spectral multipliers of
"quasi-homogeneous" operators on homogeneous group.
Trans.
Amer. Math. Soc. 351 (1999), no 9, 3743-3755.
dvi,
pdf.
Nick Dungey, A.F.M ter Elst, Derek W. Robinson
and Adam Sikora
Asymptotics of subcoercive semigroups on nilpotent Lie groups.
J. Operator Theory 45 (2001), no. 1, 81-110.
A.F.M. ter Elst, Derek W. Robinson and Adam Sikora
On second-order periodic elliptic operators in
divergence form.
Math. Z. 238 (2001), no. 3, 569-637.
doi:10.1007/s002090100268
dvi,
pdf.
Adam Sikora and James Wright
Imaginary powers of Laplace operators.
Proc. Amer. Math. Soc. 129 (2001), no. 6, 1745-1754
dvi,
pdf.
Michael Cowling and Adam Sikora
A spectral multiplier theorem
for a sublaplacian on
SU(2).
Math. Z. 238
(2001), no. 1, 1-36.
doi:10.1007/s002090100244
dvi,
pdf.
Xuan Thinh Duong, El Maati Ouhabaz and Adam
Sikora
Plancherel type estimates and sharp spectral multipliers.
J. Funct. Anal. 196 (2002), no. 2,
443-485.
doi:10.1016/S0022-1236(02)00009-5
dvi,
pdf.
Adam Sikora and Jacek Zienkiewicz
A note on the heat kernel on the Heisenberg group.
Bull. Austral. Math. Soc. 65
(2002), no. 1, 115-120.
dvi,
pdf.
Adam Sikora and Terence Tao
Bochner-Riesz summability for analytic functions on the
$m$-complex unit sphere and for cylindrically symmetric functions
on $\R^{n-1} \times \R$.
Comm. Anal. Geom. 12 (2004), no. 1-2,
43-57.
(dvi, pdf, ps) arXiv: math.CA/0207225
Adam Sikora
Riesz transform, Gaussian bounds and the method of wave equation.
Math. Z.
247 (2004), no. 3, 643-662.
(dvi, pdf, ps) arXiv: math.AP/0307291
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora and Yueping Zhu
Second-order operators with degenerate coefficients.
Proc. London Math. Soc. To appear.
(dvi, pdf, ps) arXiv: math.AP/0601307
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora and Yueping Zhu
Dirichlet forms and degenerate elliptic operators.
Partial Differential Equations and Functional Analysis. Birkhauser.
Philippe Clement Festschrift.
Operator Theory: Advances and Applications, vol. 168 (2006), 73--95.
(dvi, pdf, ps) arXiv: math.AP/0601349
A. F. M. ter Elst, Derek W. Robinson and Adam Sikora
Small time asymptotics of diffusion processes.
J. Evol. Equ. To appear.
(dvi, pdf, ps) arXiv: math.AP/0601350
Derek W. Robinson and Adam Sikora
Degenerate elliptic operators: capacity, flux and separation.
(dvi, pdf, ps) arXiv: math.AP/0601350
Raphael J. Lyman and Adam Sikora
Prediction of fading envelopes with diffuse spectra.
Proceedings of IEEE International Conference on Acoustics, Speech, and Signal
Processing, March (2005) vol. 3, III-753--III-756
pdf.
Raphael J. Lyman and Adam Sikora
Prediction of bandlimited fading envelopes with arbitrary spectral shape.
IEEE Transactions on Wireless Communications
pdf.
Derek W. Robinson and Adam Sikora
Analysis of degenerate elliptic operators of Grushin type.
(dvi, pdf, ps) arXiv: math.AP/0607584
Donggao Deng, Xuan Thinh Duong, Adam Sikora
and Lixin Yan
Comparison of the classical BMO with the BMO spaces
associated with operators and applications.
(dvi, pdf, ps) arXiv: math.AP/0609454
Thierry Coulhon and Adam Sikora
Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem.
(dvi, pdf, ps) arXiv: math.AP/0609429
Andrew Hassell and Adam Sikora
Riesz transforms in one dimension.
(dvi, pdf, ps) arXiv: math.AP/0609429
| Vol 39* |
National Research Symposium on Geometric Analysis and Applications
(ANU, June 2000)
Isaev, Hassell, McIntosh & Sikora, eds. 2001 |
Links with other web sites:
Department of Mathematical Sciences, New Mexico State University
School of Mathematical
Sciences, A.N.U.
The Abstract Analysis and
Geometry Program
some other harmonic analysts on the Web (by Terence Tao)
