Add to ORKGWe investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prove it, improving on previous results concerning arbitrary tori.Comment: 23 page
AbstractOn a symmetric spaceX=G/Kof noncompact type, we consider the formulas[formula][formula]where...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
In this paper we estimate the (L(P) - L(2))-norm of the complex harmonic projectors pi_(ll'), for p...
In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on ...
We prove sharp two-parameter estimates for the L(p)-L(2) norm, 1 <= p <= 2, of the joint spectral pr...
This note gives a wide-ranging update on the multiplier theorems by Akylzhanov and the second author...
AbstractIn this note, The spectral characterization of generalized projections are established
Abstract. We prove sharp two-parameter estimates for the Lp-L2 norm, 1 p 2, of the joint spectral ...
Perturbations of spectral projectors generated by linear matrix pencils are investigated. Estimates ...
Abstract. The classical Stein-Tomas restriction theorem is equivalent to the statement that the spec...
We obtain new estimates for a class of oscillatory integral operators with folding canonical relatio...
AbstractOn a symmetric spaceX=G/Kof noncompact type, we consider the formulas[formula][formula]where...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
In this paper we estimate the (L(P) - L(2))-norm of the complex harmonic projectors pi_(ll'), for p...
In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on ...
We prove sharp two-parameter estimates for the L(p)-L(2) norm, 1 <= p <= 2, of the joint spectral pr...
This note gives a wide-ranging update on the multiplier theorems by Akylzhanov and the second author...
AbstractIn this note, The spectral characterization of generalized projections are established
Abstract. We prove sharp two-parameter estimates for the Lp-L2 norm, 1 p 2, of the joint spectral ...
Perturbations of spectral projectors generated by linear matrix pencils are investigated. Estimates ...
Abstract. The classical Stein-Tomas restriction theorem is equivalent to the statement that the spec...
We obtain new estimates for a class of oscillatory integral operators with folding canonical relatio...
AbstractOn a symmetric spaceX=G/Kof noncompact type, we consider the formulas[formula][formula]where...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...