Publications by Arne Jensen

Below are listed some recent publications

Some published papers

• (with A. la Cour-Harbo) Wavelets and the lifting scheme, Encyclopedia of Complexity and Systems Science, Robert A. Meyers (Editor-in-Chief), Edward Aboufadel (Section Editor), IEEE Computer Society, 2009, 44 pages, to appear.
• (with V. Dinu and G. Nenciu) Non-exponential decay laws in perturbation theory of near threshold eigenvalues, J. Math. Phys. 50 (2009), 013516.
• (with G. Nenciu) On the Fermi Golden Rule: Degenerate eigenvalues. In: Perspectives in Operator Algebras and Mathematical Physics (Eds. F. Boca, R. Purice, and S. Stratila), Theta, Bucharest 2008, pp. 91--103.
• (with K. Yajima) On $L^p$ boundedness of wave operators for four dimensional Schroedinger operators with threshold singularities. Proc. Lond. Math. Soc. (3) 96 (2008), 136-162.
• (with G. Nenciu) Uniqueness results for transient dynamics of quantum systems. Contemporary Mathematics 447 (2007), 165--174.
• (with G. Nenciu) Schr\"{o}dinger Operators on the Half Line: Resolvent Expansions and the Fermi Golden Rule at Thresholds. Proc. Indian Acad. Sci. (Math. Sci.), 116 (2006), 693--727.
• (with H. D. Cornean and V. Moldoveanu) The Landauer-B\"{u}ttiker formula and resonant quantum transport, Lect. Notes Physics 690 (2006), 45--53.
• (with G. Nenciu) The Fermi Golden Rule and its Form at Thresholds in Odd Dimensions, Comm. Math. Phys. 261 (2006), 693-727.
• (with M. Krishna) New criteria to identify spectrum, Proc. Indian Acad. (Math. Sci.) 115 (2005), 217-226.
• (with H. D. Cornean and V. Moldoveanu) A rigorous proof for the Landauer-Büttiker formula, J. Math. Phys., 46 (2005)042106, 28 pages.
• (with A. Galtbayar and K. Yajima) Some recent results on Schrödinger equations with time-periodic potentials. Proceedings RIMS Conference on Spectral and scattering theory and related topics, 2004.
• (with G. Nenciu) Erratum to the paper ``A unified approach to resolvent expansions at thresholds'', Rev. Math. Phys. 16 (2004), 675-677.
• (with A. Galtbayar and K. Yajima) Local time-decay of solutions to Schrödinger equations with time-periodic potentials. J. Statist. Phys. 116 (2004), 231-282.
• (with A. Galtbayar and K. Yajima) The Nelson model with less than two photons. Ann. H. Poincaré 4 (2003), 239--273.
• (with K. Yajima) A remark on L^p-boundedness of wave operators for two dimensional Schrödinger operators. Comm. Math. Phys. 225 (2002), 633--637.
• On perturbation of eigenvalues embedded at thresholds in a two channel model. Proc. Indian Acad. Sci. (Math. Sci.), 112 (2002), 107--116.

Books

• (with A. la Cour-Harbo) Ripples in Mathematics -- The Discrete Wavelet Transform. Springer-Verlag 2001.