1,605 research outputs found
Cauchy-type integrals in several complex variables
We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis
on the situation when the domain of integration, , has minimal boundary
regularity. Among these operators we focus on those that are more closely
related to the classical Cauchy integral for a planar domain, whose kernel is a
holomorphic function of the parameter . The goal is to prove
estimates for these operators and, as a consequence, to obtain estimates
for the canonical Cauchy-Szeg\"o and Bergman projection operators (which are
not of Cauchy-Fantappi\'e type).Comment: This is an electronic reprint of the original article published in
the Bulletin of the Mathematical Sciences, vol. 3 (2) (2013) 241-285. This
reprint differs from the original in pagination and typographical detai
Real time vibronic coupling dynamics in organic conjugated systems
In this work we show the potentialities of applying impulsive coherent vibrational spectroscopy to conjugated systems relevant for applications. We studied films of sexithiophene, a candidate for large area molecular electronics, poly-phenylene vinylene, a prototype electroluminescent material, and polydiacetylene, very promising for applications in photonic devices. These experiments demonstrate the possibility of studying coherent molecular dynamics in organic systems with extremely high time resolution
Multi-plectoneme phase of double-stranded DNA under torsion
We use the worm-like chain model to study supercoiling of DNA under tension
and torque. The model reproduces experimental data for a much broader range of
forces, salt concentrations and contour lengths than previous approaches. Our
theory shows, for the first time, how the behavior of the system is controlled
by a multi-plectoneme phase in a wide range of parameters. This phase does not
only affect turn-extension curves but also leads to a non-constant torque in
the plectonemic phase. Shortcomings from previous models and inconsistencies
between experimental data are resolved in our theory without the need of
adjustable parameters.Comment: 4 pages, 6 figures, submitted, 2 typo's corrected, one reference
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