Publications

2003

Contribution to journal

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.

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.

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

2002

Working Paper

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

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.

2002

Contribution to book anthology

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

Ørsted, B. & Zhang, G. (2002). Capelli identity and relative discrete series of line bundles over tube domains. In A. Strasburger (Ed.), Geometry and analysis on finite- and infinite-dimensional Lie groups (pp. 349-357). Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications No. 55

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

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

2002

Contribution to journal

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

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

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

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

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

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

2001

Working Paper

Stetkær, H. (2001). On Jensens functional equation on groups. Department of Mathematical Sciences , University of Aarhus.

2001

Contribution to book anthology

Stetkær, H. (2001). Functional equations and spherical functions. In Abstracts of papers presented to the American Mathematical Society, vol. 22, nr. 1 (pp. 92)

Stetkær, H. (2001). General trigonometric functional equations. In The Thirty-eighth International Symposium on Functional Equations (pp. 296). Aequationes Mathematicae Vol. 61 (2001)

2001

Contribution to journal

Thomsen, K. (2001). On absorbing extensions. Proceedings of the American Mathematical Society, 129(5), 1409-1417.

Stetkær, H. (2001). On multiplicative maps. Semigroup Forum, 63(3), 466-468.

Poon, Y. S. & Swann, A. (2001). Potential functions of HKT spaces. Classical and Quantum Gravity, 18(21), 4711-4714. https://doi.org/10.1088/0264-9381/18/21/318

Plessis, A. D. & Vosegaard, H. (2001). Characterisation of strong smooth stability. Mathematica Scandinavica, 88(2), 193-228. http://www.mscand.dk/article.php?id=42

Møller, J. S. (2001). The low-temperature limit of transfer operators in fixed dimension. Ann. Henri Poincare, 2, 1099-1137.

Manuilov, V. & Thomsen, K. (2001). Asymptotically split extensions and E-theory. Saint Petersburg Mathematical Journal, 12(5), 819-830.

Kumar, S. & Thomsen, J. F. (2001). Frobenius splitting of Hilbert schemes of points on surfaces. Math. Ann., 319(4), 797-808.

Kristensen, S. (2001). Some metric properties of Lüroth expansions over the field of Laurent series. Bulletin of the Australian Mathematical Society, 64(2), 345-351.

Kock, A. (2001). Infinitesimal aspects of the Laplace operator. Theory and Applications of Categories, 9(1), 1-16.

Kobak, P. & Swann, A. (2001). HyperKähler Potentials via Finite-Dimensional Quotients. Geometriae Dedicata, 88(1-3), 1-19. https://doi.org/10.1023/A:1013174027792

Kobak, P. & Swann, A. (2001). HyperKähler potentials in cohomogeneity two. Journal fur die Reine und Angewandte Mathematik, 531, 121-139.

Kobak, P. & Swann, A. (2001). The hyperKähler geometry associated to Wolf spaces. Bollettino della Unione Matematica Italiana B, 4(3), 587-595.

Fournais, S. (2001). On the semiclassical asymptotics of the current and magnetic moment of a non-interacting electron gas at zero temperature in a strong constant magnetic field. Annales Henri Poincare, 2(6), 1189-1212. https://doi.org/10.1007/s00023-001-8607-0

Fournais, S. (2001). Semiclassics of the quantum current in a strong constant magnetic field. Comm. Partial Differential Equations, 26(7-8), 1427-1496.

Fournais, S. (2001). The magnetisation of large atoms in strong magnetic fields. Comm. Math. Phys., 216(2), 375-393.

Fournais, S. (2001). The nodal surface of the second eigenfunction of the Laplacian in R^D can be closed. J. Differential Equations, 173(1), 145-159.

Ørsted, B. (2000). a review of: Holomorphy and convexity in Lie theory, by Karl-Hermann Neeb, de Gruyter. Bulletin of the AMS, 39(2), 287-291.

Møller, J. S. (2000). An abstract radiation condition and applications to N-body systems. Rev. Math. Phys., 12, 767-803.

Møller, J. S. (2000). Two-body short-range systems in a time-periodic electric field. Duke Math. J., 105, 135-166.

1999

Book anthology

Fournais, S. (1999). Semiclassics of the quantum current in weak and strong magnetic fields. Department of Mathematics , University of Aarhus.

1999

Contribution to journal

Swann, A. (1999). Homogeneous twistor spaces and nilpotent orbits. Mathematische Annalen, 313(1), 161-188. https://doi.org/10.1007/s002080050256

Madsen, A. B., Pedersen, H., Poon, Y. S. & Swann, A. (1999). Corrigendum: Compact einstein-weyl manifolds with large symmetry group. Duke Mathematical Journal, 100(1). https://doi.org/10.1215/S0012-7094-99-10006-8

Dancer, A. & Swann, A. (1999). Quaternionic Kahler manifolds of cohomogeneity one. International Journal of Mathematics, 10(5), 541-570. https://doi.org/10.1142/S0129167X99000215

1998

Book anthology

Thomsen, J. F. (1998). Flag varieties, Toric varieties and characteristic p geometry. Institut for Matematiske Fag, Aarhus Universitet.

1998

Contribution to journal

Skibsted, E. (1998). Spectral analysis of N-body systems coupled to a bosonic field. Rev. Math. Phys., 10(7), 989-1026.

Pedersen, H., Poon, Y. S. & Swann, A. F. (1998). Hypercomplex structures associated to quaternionic manifolds. Differential Geometry and its Application, 9(3), 273-292. https://doi.org/10.1016/S0926-2245(98)00026-6

Fournais, S. (1998). Semiclassics of the quantum current. Comm. Partial Differential Equations, 23(3-4), 601-628.

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Lars Madsen