Plancherel Type Estimates and Sharp Spectral Multipliers
- X. Duong, E. Ouhabaz, A. Sikora
- Mathematics
- 20 December 2002
Categorification of the Kauffman bracket skein module of I-bundles over surfaces
- M. Asaeda, J. Przytycki, A. Sikora
- Mathematics
- 21 September 2004
Khovanov defined graded homology groups for links LR 3 and showed that their polynomial Euler characteristic is the Jones polyno- mial of L. Khovanov's construction does not extend in a…
Riesz transform, Gaussian bounds and the method of wave equation
- A. Sikora
- Mathematics
- 22 July 2003
Abstract.For an abstract self-adjoint operator L and a local operator A we study the boundedness of the Riesz transform AL−α on Lp for some α > 0. A very simple proof of the obtained result is based…
On skein algebras and Sl2(C)-character varieties
- J. Przytycki, A. Sikora
- Mathematics
- 15 May 1997
Topology on the Spaces Of Orderings of Groups
- A. Sikora
- Mathematics
- 31 October 2001
A natural topology on the space of left orderings of an arbitrary semi‐group is introduced here. This space is proved to be compact, and for free abelian groups it is shown to be homeomorphic to the…
Character Varieties
- A. Sikora
- Mathematics
- 16 February 2009
Let G be a complex reductive algebraic group and let Γ be a finitely generated group. We study properties of irreducible and completely reducible representations ρ : Γ → G in the context of the…
Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem
- T. Coulhon, A. Sikora
- Mathematics
- 15 September 2006
We prove that in the presence of L2 Gaussian estimates, the so‐called Davies–Gaffney estimates, on‐diagonal upper bounds imply precise off‐diagonal Gaussian upper bounds for the kernels of analytic…
Imaginary powers of Laplace operators
- A. Sikora, James Wright, James Wright
- Mathematics
- 31 October 2000
We show that if L is a second-order uniformly elliptic operator in divergenceformonRd, then Ci(1+lol)d/2 < |ILi'I|,1-L,,. <? C2(1+1kaI)d/2. We also prove that the upper bounds remain true for any…
Restriction and spectral multiplier theorems on asymptotically conic manifolds
- C. Guillarmou, Andrew Hassell, A. Sikora
- Mathematics
- 16 December 2010
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure $dE(\lambda)$ of the square root of the Laplacian on $\RR^n$ is bounded from $L^p(\RR^n)$ to…
A spectral multiplier theorem for a sublaplacian on SU(2)
- M. Cowling, A. Sikora
- Mathematics
- 1 September 2001
Abstract. We prove a Hörmander-type spectral multiplier theorem for a sublaplacian on SU(2), with critical index determined by the Euclidean dimension of the group. This result is the analogue for…
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