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This book is dedicated to the multiple aspects, that is, biological, physical and computational of DNA and RNA molecules. These molecules, central to vital processes, have been experimentally studied by molecular biologists for five decades since the discovery of the structure of DNA by Watson and Crick in 1953. Recent progresses (e.g. use of DNA chips, manipulations at the single molecule level, availability of huge genomic databases...) have revealed an imperious need for theoretical modelling. Further progresses will clearly not be possible without an integrated understanding of all DNA an

Nucleic acids. --- Computational Biology --- Biochemical Processes --- Biophysics --- DNA --- RNA --- Physics --- Nucleic Acids --- Biology --- Biochemical Phenomena --- Biological Science Disciplines --- Chemical Processes --- Chemical Phenomena --- Natural Science Disciplines --- Nucleic Acids, Nucleotides, and Nucleosides --- Disciplines and Occupations --- Phenomena and Processes --- Chemicals and Drugs --- Animal Biochemistry --- Human Anatomy & Physiology --- Health & Biological Sciences --- Nucleic acids --- Computational biology

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Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp- cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 24-27, 2003. The workshop, which was attended by 108 mathematicians - including a number of PhD and postdoctoral students - from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p- sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential - erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well.

Algebra --- Operator theory --- Functional analysis --- Harmonic analysis. Fourier analysis --- Numerical analysis --- Computer science --- Fourieranalyse --- algebra --- analyse (wiskunde) --- functies (wiskunde) --- informatica --- numerieke analyse