Publications

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Fournais, S. & Skibsted, E. (2004). Zero energy asymptotics of the resolvent for a class of slowly decaying potentials. Math. Z., 248(3), 593-633.

Kumar, S. & Thomsen, J. F. (2003). A conjectural generalization of the n! result to arbitrary groups. Transformation Groups, 8(1), 69-94. https://doi.org/10.1007/s00031-003-0215-2

Kock, A. (2003). A geometric theory of harmonic and semi-conformal maps. arXiv.org. http://front.math.ucdavis.edu/0306.5203

Herbst, I. & Skibsted, E. (2003). Absence of quantum states corresponding to unstable classical channels: homogeneous potentials of degree zero. MaPhySto, Aarhus Universitet. http://www.maphysto.dk/cgi-bin/w3-msql/publications2/index.html

Kock, A. (2003). Algebra of Principal Fibre Bundles and Connections. Department of Mathematical Sciences , University of Aarhus.

Kobayashi, T. & Ørsted, B. (2003). Analysis on the minimal representation of O(p,q) I. Realization via conformal geometry. Shuxue Jinzhan, 180, 486-512. https://doi.org/10.1016/S0001-8708(03)00012-4

Kobayashi, T. & Ørsted, B. (2003). Analysis on the minimal representation of O(p,q) II. Branching laws. Shuxue Jinzhan, 180, 513-550. https://doi.org/10.1016/S0001-8708(03)00013-6

Kobayashi, T. & Ørsted, B. (2003). Analysis on the minimal representation of O(p,q) III. Ultrahyperbolic equations on. Shuxue Jinzhan, 180, 551-595. https://doi.org/10.1016/S0001-8708(03)00014-8

Fournais, S. (2003). Confinement to lowest Landau band and applications to quantum current. Rev. Math. Phys., 15(10), 1219-1253.

Bach, V. & Møller, J. S. (2003). Correlation at low temperature I. Exponential decay. Journal of Functional Analysis, 203(1), 93--148. https://doi.org/10.1016/S0022-1236(03)00046-6

Kock, A. (2003). Differential calculus and nilpotent real numbers. Bulletin of Symbolic Logic, 9(2), 225-230.

Kristensen, S. (2003). Diophantine approximation and the solubility of the Schrödinger equation. Physics Letters A, 314(1-2), 15-18. https://doi.org/10.1016/S0375-9601(03)00867-3

Thomsen, K. (2003). Discrete asymptotic homomorphisms in E-theory and KK-theory. Mathematica Scandinavica, 92(1), 103-128. http://www.mscand.dk/article.php?id=200

Kock, A. (2003). Envelopes - notion and definiteness. Department of Mathematical Sciences , University of Aarhus.

Kock, A. (2003). First neighbourhood of the diagonal, and geometric distributions. Universitatis Iagellonicae Acta Mathematica, 41, 307-318.

Swann, A. & Olsen, N. H. (2003). Linear transformation groups and shape space. Journal of Mathematical Imaging and Vision, 19(1), 49-62. https://doi.org/10.1023/A:1024437004092

Skibsted, E. (2003). Long-range scattering of three-body quantum systems, II. Annales Henri Poincare, 4(2), 276-299.

Skibsted, E. (2003). Long-range scattering of three-body quantum systems: Asymptotic completeness. Inventiones Mathematicae, 151, 65-99.

Møller, J. S. (2003). Low-temperature localisation for continuous spin-systems. Potential Anal., 19, 163--192.

Stetkær, H. (2003). On Jensen's functional equation on groups. Aequationes Mathematicae, 66, 100-118.

Stetkær, H. (2003). On a variant of Wilson's functional equation on groups. MaPhySto, University of Aarhus.

Thomsen, K. (2003). On the KK-theory and the E-theory of amalgamated free products of C*-algebras. Journal of Functional Analysis, 201, 30-56. https://doi.org/10.1016/S0022-1236(03)00084-3

Thomsen, K. (2003). On the structure of a sofic shift space. Department of Mathematical Sciences , University of Aarhus.

Kristensen, S. (2003). On well-approximable matrices over a field of formal series. Mathematical Proceedings of the Cambridge Philosophical Society, 135(2), 255-268.

Ornea, L., Poon, Y. S. & Swann, A. (2003). Potential 1-forms for hyper-Kähler structures with torsion. Classical and Quantum Gravity, 20(9), 1845-1856. https://doi.org/10.1088/0264-9381/20/9/317

Jantzen, J. C. (2003). Representations of Algebraic Groups. (2. udg.) American Mathematical Society.

Kock, A. & Reyes, G. E. (2003). Some calculus with extensive quantities: wave equation. Theory and Applications of Categories, 11, 321-336.

Poon, Y. S. & Swann, A. (2003). Superconformal Symmetry and HyperKähler Manifolds with Torsion. Communications in Mathematical Physics, 241(1), 177-189. https://doi.org/10.1007/s00220-003-0914-5

Clerc, J-L. & Ørsted, B. (2003). The Gromov norm of the Kaehler class and the Maslov index. Asian Journal of Mathematics, 7(2), 269-296.

Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2003). The Lévy-Itô Decomposition in Free Probability. Syddansk Universitet. http://www.maphysto.dk/cgi-bin/w3-msql/publications2/index.html

Kock, A. (2003). The Stack Quotient of a Groupoid. Cahiers de Topologie et Geometrie Differentielle Categoriques, 44(2), 85-104.

Thomsen, K. (2003). The defect of factor maps and finite equivalence of dynamical systems. I S. Bezuglyi & S. Kolyada (red.), Topics in dynamics and ergodic theory (s. 190-225). Cambridge University Press. London Mathematical Society lecture note series Bind 310

Stetkær, H. (2003). Wilson's functional equation on metabelian groups. I The Fortieth International Symposium on Functional Equations (s. 302). Aequationes Mathematicae Bind 65 (2003)

Skibsted, E. (2002). Asymptotic absolute continuity for perturbed time-dependent quadratic Hamiltonians. Proceedings - Mathematical Sciences, 112(1), 209-228.

Ørsted, B. & Zhang, G. (2002). Capelli identity and relative discrete series of line bundles over tube domains. I A. Strasburger (red.), Geometry and analysis on finite- and infinite-dimensional Lie groups (s. 349-357). Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications Nr. 55

Cleyton, R. & Swann, A. (2002). Cohomogeneity-one G₂-structures. Journal of Geometry and Physics, 44(2-3), 202-220. https://doi.org/10.1016/S0393-0440(02)00074-8

Lauritzen, N. & Thomsen, J. F. (2002). Line Bundles on Bott-Samelson varieties. Department of Mathematical Sciences , University of Aarhus.

Kashiwara, M. & Lauritzen, N. (2002). Local Cohomology and $D$-Affinity in Positive Characteristic. Department of Mathematical Sciences , University of Aarhus.

Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Lévy laws in free probability. Proc. Nat. Acad. Sci., 99(26), 16568-16575.

Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Lévy processes in free probability. Proc. Nat. Acad. Sci., 99(26), 16576-16580.

Stetkær, H. (2002). On Jensen's functional equation on groups. I The Thirty-ninth International Symposium on Functional Equations (s. 183). Aequationes Mathematicae Bind 64 (2002)

Friis, P. D. P. & Stetkær, H. (2002). On the Cosine-Sine Functional Equation on Groups. Aequationes Mathematicae, 64(1-2), 145-164.

Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. & Østergaard Sørensen, T. (2002). On the regularity of the density of electronic wavefunctions. I R. Weder, P. Exner & B. Grébert (red.), Mathematical results in quantum mechanics (s. 143-148). American Mathematical Society. Contemporary mathematics Bind 307

Fournais, S. (2002). On the total magnetic moment of large atoms in strong magnetic fields. Lett. Math. Phys., 59(1), 33-45.

Herbst, I. & Skibsted, E. (2002). Quantum scattering for potentials homogeneous of degree zero. I R. Weder, P. Exner & B. Grébert (red.), Mathematical results in quantum mechanics: a conference on QMATH-8 (s. 163-169). American Mathematical Society. Contemporary mathematics Bind 307

Neeb, K-H. & Ørsted, B. (2002). Representations in L²-Spaces on Infinite-Dimensional Symmetric Cones: dedicated to the memory of Irving Ezra Segal. Journal of Functional Analysis, 190, 133-178. https://doi.org/10.1006/jfan.2001.3884

Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Self-decomposability and Lévy processes in free probability. Bernoulli, 8(3), 323-366.

Fournais, S. (2002). Semiclassics of the quantum current in very strong magnetic fields. Annales de l'Institut Fourier, 52(6), 1901-1945.

Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. & Østergaard Sørensen, T. (2002). The electron density is smooth away from the nuclei. Comm. Math. Phys., 228(3), 401-415. https://doi.org/10.1007/s002200200668

Stetkær, H. (2002). d'Alembert's and Wilson's functional equations on step 2 nilpotent group. Department of Mathematical Sciences , University of Aarhus.

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Lars Madsen