Universiteit Utrecht

Department of Mathematics







Publications by E.P. van den Ban

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Erik P. van den Ban, Job J. Kuit,
Cusp forms for reductive symmetric spaces of split rank one
Representation Theory, Vol. 21, pp 467-533, 2017.
Erik P. van den Ban, Job J. Kuit,
Normalizations of Eisenstein integrals for reductive symmetric spaces.
September 2014, 61 pp. To appear: J. Funct. Analysis.
Erik P. van den Ban, Job J. Kuit, Henrik Schlichtkrull,
The notion of cusp forms for a class of reductive symmetric spaces of split rank one.
June 2014, 37 pp. To appear: Kyoto Journal of Mathematics
Dana Balibanu and Erik van den Ban,
Convexity theorems for semisimple symmetric spaces.
January 2014, 52pp. To appear: Forum Mathematicum.
E.P. van den Ban, S. Souaifi.
A comparison of Paley-Wiener theorems for real reductive Lie groups.
J. reine angew. Math. (Crelle) 695 (2014), 99 - 149.
E.P. van den Ban, J.A.C. Kolk (eds.)
Geometric Aspects of Analysis and Mechanics
In Honor of the 65th birthday of Hans Duistermaat,
Proceedings. Progress in Mathematics 292, Birkhauser -- Springer, 2011.
E.P. van den Ban, J.A.C. Kolk
Contribution to: Remembering Johannes J. Duistermaat (1942 - 2010)
V. Guillemin, A. Pelayo, S. Vu Ngoc, A. Weinstein (eds), Notices of the AMS, Vol. 58 (6) (2011), 794 - 802.
E.P. van den Ban, J.A.C. Kolk
In Memoriam: Hans Duistermaat (1942 - 2010): Grasping the essence
Nieuw Arch. Wisk. (5) 11 (2010) 235-237
E.P. van den Ban, H. Schlichtkrull
Polynomial estimates for c-functions on reductive symmetric spaces.
Preprint, November 1, 2010, 24pp.
To appear: IMRN 2011.
H. Azad, E.P. van den Ban, I. Biswas
Symplectic geometry of semisimple orbits.
Indagationes Mathematicae 19 (2008), 507 - 533.
E.P. van den Ban,
Weyl, eigenfunction expansions and harmonic analysis on non-compact symmetric spaces.
in: Groups and Analysis, pp. 24 - 62, ed. Katrin Tent. London Mathematical Society Lecture Note Series 354,
Cambridge University Press, 2008.
E.P. van den Ban, H. Schlichtkrull,
A Paley-Wiener theorem for distributions on reductive symmetric spaces.
J. Inst. Math. Jussieu 6 (2007), 557-577.
E.P. van den Ban, H. Schlichtkrull,
Paley-Wiener spaces for real reductive Lie groups.
Indagationes Mathematicae 16 (2005), 321-349.
E.P. van den Ban,
The Plancherel theorem for a reductive symmetric space.
pp. 1- 97 in: Lie Theory Harmonic Analysis on Symmetric Spaces -- General Plancherel Theorems, J-P. Anker, B. Orsted, eds.,
Progress in Math. 230, Birkhauser, Boston, 2005.
E.P. van den Ban,
Eisenstein integrals and induction of relations,
pp. 487 - 509 in: Noncommutative Harmonic Analysis, In Honor of Jacques Carmona, P. Delorme & M. Vergne, eds.,
Progress in Math. 220, Birkhauser, Boston-Basel-Berlin, 2004.
E.P. van den Ban, H. Schlichtkrull,
A Paley-Wiener theorem for reductive symmetric spaces
Annals of Math. 164 (3), 879-909 (2006).
E.P. van den Ban, H. Schlichtkrull,
The Plancherel decomposition for a reductive symmetric space. II. Representation theory
Invent. Math. 161 (3), 567-628, 2005.
E.P. van den Ban, H. Schlichtkrull,
The Plancherel decomposition for a reductive symmetric space. I. Spherical functions.
Invent. Math. 161 (3), 453-566, 2005.
E.P. van den Ban, H. Schlichtkrull,
Analytic families of eigenfunctions on a reductive symmetric space.
Represent. Theory 5 (2001), 615 - 712.
E.P. van den Ban, H. Schlichtkrull,
Harmonic analysis on reductive symmetric spaces.
pp. 565-582 in: European Congress of Mathematics, Barcelona, July 10-14, 2000, Vol. I. C. Casacuberta e.a., eds.,
Progress in Math. 201, Birkhauser Verlag, Basel, 2001. ISBN 3-7643-6417-3.
E.P. van den Ban, H. Schlichtkrull,
Fourier inversion on a reductive symmetric space.
Acta Math. 182 (1999), 25-85.
E.P. van den Ban, M. Flensted-Jensen, H. Schlichtkrull,
Harmonic Analysis on semisimple symmetric spaces. A survey of some general results.
Representation Theory and Automorphic Forms, pp. 191 - 217, T.N. Bailey, A.W. Knapp, eds,
Proceedings of Symposia in Pure Mathematics, Vol. 61, Amer. Math. Soc. 1997
(Proceedings Edinburgh 1996).
E.P. van den Ban,
Induced representations and the Langlands classification.
Representation Theory and Automorphic Forms, pp. 123 - 155, T.N. Bailey, A.W. Knapp, eds,
Proceedings of Symposia in Pure Mathematics, Vol. 61, Amer. Math. Soc. 1997
(Proceedings Edinburgh 1996).
E.P. van den Ban, H. Schlichtkrull,
A residue calculus for root systems.
Compositio Math. 123 (2000), 27 - 72.
E.P. van den Ban,
The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space.
Indag. Mathem., N.S., 8 (1997), 317 - 347.
E.P. van den Ban, H. Schlichtkrull,
Expansions for Eisenstein integrals on semisimple symmetric spaces.
Ark. Mat. 35 (1997), 59 - 86.
E.P. van den Ban, H. Schlichtkrull,
The most-continuous part of the Plancherel decomposition for a reductive symmetric space
Ann. Math. 145 (1997), 267 - 364.
E.P. van den Ban, J. Carmona, P. Delorme,
Paquets d'ondes dans l'espace de Schwartz d'un espace sym\'etrique r\'eductif.
J. Funct. Anal. 139 (1996), 225 - 243.
E.P. van den Ban, H. Schlichtkrull,
Fourier transforms on a semisimple symmetric space.
Invent. Math. 130 (1997), 517 - 574.
E.P. van den Ban, M. Flensted-Jensen, H. Schlichtkrull,
Basic harmonic analysis for pseudo-Riemannian symmetric spaces.
Noncompact Lie Groups and Some of their Applications, pp. 69-101,
E.A. Tanner \& R. Wilson (eds.)
(proc. of the San Antonio NATO workshop, 1993),
Kluwer Academic Publishers, 1994.
E.P. van den Ban, H. Schlichtkrull,
Convexity for invariant differential operators on semisimple symmetric spaces.
Compositio Mathematica, 89 (1993), 301 -- 313.
E.P. van den Ban, H. Schlichtkrull,
Multiplicities in the Plancherel decomposition of a semisimple symmetric space.
pp. 163--180 in: Proc. Maryland 1991,
Contemporary Mathematics, Volume 145, AMS, 1993.
E.P. van den Ban,
The principal series for a reductive symmetric space, II. Eisenstein integrals.
J. Funct. Anal. 109 (1992), 331--441.
E.P. van den Ban, H. Schlichtkrull,
Asymptotic expansions on symmetric spaces.
Harmonic analysis on reductive groups (Brunswick, ME, 1989), 79--87,
Progr. Math., 101, Birkhauser Boston, Boston, MA, 1991.
E.P. van den Ban, H. Schlichtkrull,
Local boundary data of eigenfunctions on a Riemannian symmetric space.
Invent. Math. 98 (1989), no. 3, 639--657.
E.P. van den Ban, P. Delorme,
Quelques proprietes des representations spheriques pour les espaces symetriques reductifs.
J. Funct. Anal. 80(1988), 284 - 307.
E.P. van den Ban,
The principal series for a reductive symmetric space, I. H-fixed distribution vectors.
Annales Scientifiques de l'Ecole Normale Superieure Ser. 4, 21 no. 3 (1988), p. 359 - 412
E.P. van den Ban, H. Schlichtkrull,
Asymptotic expansions and boundary values of eigenfunctions on Riemannian symmetric spaces.
J. Reine Angew. Math. 380 (1987), 108 - 165.
E.P. van den Ban, P. Delorme,
Appendix to P. Delorme: Injection de modules spheriques pour les espaces symetriques reductifs dans certaines representations induites.
Lecture Notes in Math., 1243, Noncommutative harmonic analysis and Lie groups
(Marseille-Luminy, 1985), 108 - 143, Springer, Berlin, 1987.
E.P. van den Ban,
Asymptotic behaviour of matrix coefficients related to reductive symmetric spaces.
Indagationes Mathematicae, 49 (1987), 225 - 249.
E.P. van den Ban,
Invariant differential operators on a semisimple symmetric space and finite multiplicities in a Plancherel formula.
Ark. Mat. 25 (1987), 175 - 187.
E.P. van den Ban,
A convexity theorem for semisimple symmetric spaces.
Pacific Journal of Mathematics, 124 (1986), 21 - 55.
E.P. van den Ban,
Asymptotic behavior of Eisenstein integrals.
Bulletin of the American Mathematical Society, 9, (1983), 311 - 314.
E.P. van den Ban
Asymptotic expansions and integral formulas for eigenfunctions on a semisimple Lie group.
Thesis University of Utrecht, 1982.



Last update: 17/11-2011.