Publications by Arne Jensen
Below are listed some recent publications
Some published papers

(with A. la CourHarbo) Wavelets and the lifting scheme,
Encyclopedia of Complexity and Systems Science, Robert A. Meyers
(EditorinChief), Edward Aboufadel (Section Editor), IEEE Computer Society,
2009, 44 pages, to appear.

(with V. Dinu and G. Nenciu)
Nonexponential 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. 91103.


(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), 136162.

(with G. Nenciu) Uniqueness results for transient dynamics of
quantum systems. Contemporary Mathematics 447 (2007), 165174.

(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), 693727.

(with H. D. Cornean and V. Moldoveanu) The LandauerB\"{u}ttiker
formula and resonant quantum transport, Lect. Notes Physics 690 (2006),
4553.
 (with G. Nenciu)
The Fermi Golden Rule and its Form at Thresholds in Odd Dimensions,
Comm. Math. Phys. 261 (2006), 693727.
 (with M. Krishna) New criteria to identify spectrum, Proc. Indian
Acad. (Math. Sci.) 115 (2005), 217226.
 (with H. D. Cornean and V. Moldoveanu) A rigorous proof for the
LandauerBüttiker formula, J. Math. Phys., 46 (2005)042106,
28 pages.

(with A. Galtbayar and K. Yajima) Some recent results on
Schrödinger equations with timeperiodic 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),
675677.
 (with A. Galtbayar and K. Yajima) Local timedecay of solutions to
Schrödinger equations with timeperiodic potentials.
J. Statist. Phys. 116 (2004), 231282.
 (with A. Galtbayar and K. Yajima) The Nelson model
with less than two photons. Ann. H. Poincaré 4 (2003),
239273.
 (with K. Yajima)
A remark on L^{p}boundedness of wave operators for
two dimensional
Schrödinger operators. Comm. Math. Phys. 225 (2002),
633637.
 On perturbation of eigenvalues embedded at thresholds in a two
channel model. Proc. Indian Acad. Sci. (Math. Sci.), 112
(2002), 107116.
Books
 (with A. la CourHarbo)
Ripples in Mathematics  The Discrete Wavelet Transform.
SpringerVerlag 2001.