Using an alcohol catalytic CVD method shown to produce high-quality single-walled carbon nanotubes (SWNTs), films of vertically aligned (VA-)SWNTs were synthesized on quartz substrates. The VA-SWNTs can be removed from the substrate and transferred onto an arbitrary surface—without disturbing the vertical alignment—using a hot-water assisted technique. This ability makes experimental measuremen...

In this paper, we give a direct quantitative estimate of $$L^1$$ norms non-harmonic trigonometric polynomials over large enough intervals. This extends the result by Konyagin (Izv Akad Nauk SSSR Ser Mat 45(2):243–265, 1981) and Mc Gehee et al. (Ann Math 113:613–618, to setting with non-integer frequencies. The is extension Nazarov (St Petersburg J 7(2):265–275, 1996) also covers Hudson Leckband...

Abstract We examine four different notions of variation for real-valued functions defined on the compact ring integers a non-Archimedean local field, with an emphasis regularity properties finite variation, and establishing Koksma inequalities. The first version is due to Taibleson, second Beer, remaining two are new. Taibleson simplest these, but it coarse measure irregularity does not admit i...

In this paper has been studied the wave equation in some non-classic cases. In the  rst case boundary conditions are non-local and non-periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers,in which two ...