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The Sidon constant for the index set of nonzero m-homogeneous polynomials P in n complex variables is the supremum of the ratio between the l norm of the coefficients of P and the H(D) norm of P . We present an estimate which gives the right order of magnitude for this constant, modulo a factor depending exponentially on m. We use this result to show that the Bohr radius for the polydisc D is b...
Here, I ≥ I0 denotes the angular momentum, A is a constant determined by fit to data, and I0 is the spin of the band head under consideration. Rotational states are the lowestlying excitations in nuclei far away from closed shells. Our understanding of nuclear rotations is based on the groundbreaking work by Bohr and Mottelson [1], its extension within the general collective model [2], and the ...
Preben Alstrøm, Victor M. Egúıluz, Morten Colding-Jørgensen, Finn Gustafsson, and Niels-Henrik Holstein-Rathlou CATS, The Niels Bohr Institute, DK-2100 Copenhagen, Denmark Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain Novo Nordisk, DK-2880 Bagsvaerd, Denmark Department of Medical Physiology, The Panum Institute, DK-2200 Copenhagen, Denmark (Sep...
This is a short version of the author’s habilitation thesis. The main results have been published but many details are developed and clarified. As well some new results are included: we additionally discuss here quasi classical limit of ALG(a) quantization, mention some topological properties of the moduli space of Bohr Sommerfeld Lagrangian cycles of fixed volume and investigate some propertie...
* Thesis submitted to Princeton University March 1, 1957 in partial fulfillment of the requirements for the Ph.D. degree. An earlier draft dated January, 1956 was circulated to several physicists whose comments were helpful. Professor Niels Bohr, Dr. H.J.Groenewald, Dr. Aage Peterson, Dr. A.Stern, and Professor L.Rosenfeld are free of any responsibility, but they are warmly thanked for the usef...
(3) v = fdju + vc for the decomposition into discrete (ƒ dju as above) and continuous vc parts. Let F = û = J2k' + J'e' dvc{y) be the Fourier transform of the measure v. Then Wiener's theorem says (2) continues to hold. This means that the Fourier transform vc of the continuous portion of the measure does not contribute to the Bohr mean of |F|. We will interpret Wiener's theorem to mean that ev...
Biogeochemical records of past global iron connections Z. S. An, J. J. Cao, K. K. Anderson, H. Kawahata, and R. Arimoto State Key Lab of Loess and Quaternary Geology, Institute of Earth Environment, Chinese Academy of Sciences, P.O. Box 17, Xi’an 710075, China Niels Bohr Institute for Astronomy, Physics and Geophysics, University of Copenhagen, Denmark DK-2100 Copenhagen Denmark Geological Surv...
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