1,605 research outputs found

    Cauchy-type integrals in several complex variables

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    We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, DD, 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 z∈Dz\in D. The goal is to prove LpL^p estimates for these operators and, as a consequence, to obtain LpL^p 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

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    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

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    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 adde
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