Prof. dr. E.P. (Erik) van den Ban

Hans Freudenthalgebouw
Budapestlaan 6
3584 CD Utrecht

Prof. dr. E.P. (Erik) van den Ban

Emeritus Professor
Fundamental Mathematics
e.p.vandenban@uu.nl

Publications

2019

Scholarly publications

van den Ban, E. P., J.J. Kuit, & H. Schlichtkrull (2019). The notion of cusp forms for a class of reductive symmetric spaces of split rank 1. Kyoto Journal of Mathematics, 59(2), 471-513. https://doi.org/10.1215/21562261-2019-0015
van den Ban, E. P., Kuit, J. J., & Schlichtkrull, H. (2019). K-invariant cusp forms for reductive symmetric spaces of split rank one. Forum Mathematicum, 31(2), 341-349. https://doi.org/10.1515/forum-2018-0150

2017

Scholarly publications

Van Den Ban, E. P., & Kuit, J. J. (2017). Cusp forms for reductive symmetric spaces Of split rank one. Representation Theory, 21(17), 467-533. https://doi.org/10.1090/ert/507
van den Ban, E. P., & Kuit, J. (2017). Normalizations of Eisenstein integrals for reductive symmetric spaces. Journal of Functional Analysis, 272(7), 2795 - 2864. https://doi.org/10.1016/j.jfa.2017.01.004

2016

Scholarly publications

Balibanu, D. M., & van den Ban, E. P. (2016). Convexity theorems for semisimple symmetric spaces. Forum Mathematicum, 28(6), 1167-1204. https://doi.org/10.1515/forum-2015-0079

2015

Scholarly publications

van den Ban, E. P., & Kuit, J. J. (2015). Cusp forms for reductive symmetric spaces of split rank one. (pp. 1-76). arXiv. https://doi.org/10.48550/arXiv.1511.05793

2014

Scholarly publications

van den Ban, E., & Kuit, J. (2014). Normalizations of Eisenstein integrals for reductive symmetric spaces. (pp. 1-66). arXiv. https://doi.org/10.48550/arXiv.1409.5411
van den Ban, E., Kuit, J., & Schlichtkrull, H. (2014). The notion of cusp forms for a class of reductive symmetric spaces of split rank one. (pp. 1-41). arXiv. https://doi.org/10.48550/arXiv.1406.1634
Balibanu, D., & van den Ban, E. (2014). Convexity theorems for semisimple symmetric spaces. (pp. 1-52). arXiv. https://doi.org/10.48550/arXiv.1401.1093
https://dspace.library.uu.nl/bitstream/handle/1874/356989/convexity.pdf?sequence=1

2013

Scholarly publications

van den Ban, E. P., & Souaifi, S. (2013). A comparison of Paley-Wiener theorems for real reductive Lie groups. Journal fur die Reine und Angewandte Mathematik, 2014(695), 99-149. https://doi.org/10.1515/

2012

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (2012). Polynomial Estimates for c-functions on Reductive Symmetric Spaces. International Mathematics Research Notices, 2012(6), 1201-1229. https://doi.org/10.1093/imrn/rnr050

2011

Scholarly publications

van den Ban, E. P., & Kolk, J. A. C. (2011). Geometric Aspects of Analysis and Mechanics : In Honor of the 65th Birthday of Hans Duistermaat. (Progress in Mathematics ed.) Birkhäuser.

Professional publications

Kolk, J. A. C., & van den Ban, E. P. (2011). About J.J. Duistermaat. In Geometric Aspects of Analysis and Mechanics. In Honor of the 65th Birthday of Hans Duistermaat (Progress in Mathematics ed., Vol. 292, pp. vi-xxiii). Birkhäuser.
Guillemin, V. (Ed.), van den Ban, E. P., & Kolk, J. A. C. (2011). Remembering Johannes J. Duistermaat (1942-2010). Notices of the American Mathematical Society, 58(6), 800-801.
https://dspace.library.uu.nl/bitstream/handle/1874/309452/rtx110600794p.pdf?sequence=1

2010

Professional publications

van den Ban, E. P., & Kolk, J. A. C. (2010). In Memoriam: Hans Duistermaat (1942-2010) : grasping the essence. Nieuw archief voor wiskunde. Serie 5, 11(4), 235-237.
https://dspace.library.uu.nl/bitstream/handle/1874/194855/InmemoriamHansDuistermaat_Ban_2010.pdf?sequence=1

2009

Scholarly publications

Azad, H., van den Ban, E. P., & Biswas, I. (2009). Symplectic geometry of semisimple orbits. Indagationes Mathematicae, 19(4), 507-533.

2008

Scholarly publications

van den Ban, E. P. (2008). Weyl, eigenfunction expansions and harmonic analysis on non-compact symmetric spaces. In K. Tent (Ed.), Groups and analysis (pp. 24-62). (London Mathematical Society Lecture Note Series; No. 354). Cambridge University Press.

2007

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (2007). A Paley-Wiener theorem for distributions on reductive symmetric spaces. Journal of the Institute of Mathematics of Jussieu, 6(4), 557-577. https://doi.org/10.1017/S1474748007000114

2006

Scholarly publications

van den Ban, E. P. (2006). A Paley-Wiener theorem for reductive symmetric spaces. Annals of Mathematics, 164(3), 879-909. http://lanl.arviv.org/abs/math.RT/0302232

2005

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (2005). The Plancherel decomposition for a reductive symmetric space. II. Representation theory. Inventiones Mathematicae, 161(3), 567-628.
van den Ban, E. P., & Schlichtkrull, H. (2005). The Plancherel decomposition for a reductive symmetric space. I. Spherical functions. Inventiones Mathematicae, 161(3), 453-566.
van den Ban, E. P., & Schlichtkrull, H. (2005). Paley-Wiener spaces for real reductive Lie groups. Indagationes Mathematicae, 16(3-4), 321-349. http://lanl.arxiv.org/abs/math.RT/0411363
van den Ban, E. P. (2005). The Plancherel Theorem for a Reductive Symmetric Space. In J.-P. Anker, B. Orsted (Ed.), Lie Theory. Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems (pp. 1-97). (Progress in Mathematics; No. 231). Birkhaüser.

2004

Scholarly publications

van den Ban, E. P. (2004). Eisenstein integrals and induction of relations. In P. Delorme, & M. Vergne (Eds.), Noncommutative Harmonic Analysis. In Honor of Jacques Carmona (pp. 487-509). (Progress in Mathematics; No. 220). Birkhaüser.

2001

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (2001). Analytic families of eigenfunctions on a reductive symmetric space. Representation Theory, 5, 615-712.
https://dspace.library.uu.nl/bitstream/handle/1874/13454/ban_01_analytic.pdf?sequence=1

2000

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (2000). Harmonic Analysis on Reductive Symmetric Spaces. In C. Casacuberta, R. M. Miro-Roig, J. Verdera, & S. Xambo-Descamps (Eds.), European Congress of Mathematics, Barcelona, July 10-14, 2000 (pp. 565-582). Birkhäuser Verlag.
van den Ban, E. P., & Schlichtkrull, H. (2000). A residue calculus for root systems. Compositio Mathematica, 123(1), 27-72.

1999

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (1999). Fourier inversion on a reductive symmetric space. Acta Mathematica, 182(1), 25-85.

1997

Scholarly publications

van den Ban, E. P. (1997). The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space. Indagationes Mathematicae, 8(3), 317-347.
van den Ban, E. P., Flensted-Jensen, M., & Schlichtkrull, H. (1997). Harmonic Analysis on semisimple symmetric spaces. A survey of some general results. In T. N. Bailey, & A. W. Knapp (Eds.), Representation Theory and Automorphic Forms (pp. 191-217). American Mathematical Society.
van den Ban, E. P., & Schlichtkrull, H. (1997). The most continuous part of the Plancherel decomposition for a reductive symmetric space. Annals of Mathematics, 145(2), 267-364.
van den Ban, E. P., & Schlichtkrull, H. (1997). Expansions for Eisenstein integrals on semisimple symmetric spaces. Arkiv for Matematik, 35(1), 59-86.
van den Ban, E. P. (1997). Induced representations and the Langlands classification. In T. N. Bailey, & A. W. Knapp (Eds.), Representation Theory and Automorphic Forms (pp. 123-155). American Mathematical Society.
van den Ban, E. P., & Schlichtkrull, H. (1997). Fourier transforms on a semisimple symmetric space. Inventiones Mathematicae, 130(3), 517-574.

1996

Scholarly publications

van den Ban, E. P., Carmona, J., & Delorme, P. (1996). Paquets d'ondes dans l'espace de Schwartz d'un espace symétrique réductif. Journal of Functional Analysis, 139(1), 225-243.

1994

Scholarly publications

van den Ban, E. P., Flensted-Jensen, M., & Schlichtkrull, H. (1994). Basic harmonic analysis for pseudo-Riemannian symmetric spaces. In E.A. Tanner, & R. Wilson (Eds.), Noncompact Lie groups and their applications (pp. 69-101). Kluwer Academinc Publishers.

1993

Scholarly publications

van den Ban, E. P., & Schlichtkrull, H. (1993). Multiplicities in the Plancherel decomposition of a semisimple symmetric space. In Representation theory of groups and algebras (pp. 163-180). (Contemporary Mathematics; No. 145). American Mathematical Society.
van den Ban, E. P., & Schlichtkrull, H. (1993). Convexity for invariant differential operators on semisimple symmetric spaces. Compositio Mathematica, 89(3), 301-313.

1992

Scholarly publications

van den Ban, E. P. (1992). The principal series for a reductive symmetric space, II. Eisenstein integrals. Journal of Functional Analysis, 109(2), 331-441.