Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Erik P. van den Ban"'
Publikováno v:
Kyoto Journal of Mathematics, 59(2), 471. Duke University Press
Kyoto J. Math. 59, no. 2 (2019), 471-513
van den Ban, E P, Kuit, J J & Schlichtkrull, H 2019, ' The notion of cusp forms for a class of reductive symmetric spaces of split rank 1 ', Kyoto Journal of Mathematics, vol. 59, no. 2, pp. 471-513 . https://doi.org/10.1215/21562261-2019-0015
Kyoto J. Math. 59, no. 2 (2019), 471-513
van den Ban, E P, Kuit, J J & Schlichtkrull, H 2019, ' The notion of cusp forms for a class of reductive symmetric spaces of split rank 1 ', Kyoto Journal of Mathematics, vol. 59, no. 2, pp. 471-513 . https://doi.org/10.1215/21562261-2019-0015
We study a notion of cusp forms for the symmetric spaces $G/H$ with $G=\mathrm{SL}(n,{\mathbb{R}})$ and $H=\mathrm{S}(\mathrm{GL}(n-1,{\mathbb{R}})\times \mathrm{GL}(1,{\mathbb{R}}))$ . We classify all minimal parabolic subgroups of $G$ for which the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c8338b40850dedceb3f71bfb476d83f
https://doi.org/10.1215/21562261-2019-0015
https://doi.org/10.1215/21562261-2019-0015
Publikováno v:
Indagationes Mathematicae. 16:321-349
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::103058bbd8b9ee78c398b35dc4da5823
https://doi.org/10.1016/s0019-3577(05)80031-x
https://doi.org/10.1016/s0019-3577(05)80031-x
Publikováno v:
Acta Math. 182, no. 1 (1999), 25-85
Let X be a semisimple symmetric space. In previous papers, [8] and [9], we have dened an explicit Fourier transform for X and shown that this transform is injective on the space C 1 c (X) ofcompactly supported smooth functions on X. In the present pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69b41677f05fe229d14451afb51bd4ea
https://doi.org/10.1007/bf02392823
https://doi.org/10.1007/bf02392823
Publikováno v:
Inventiones Mathematicae. 130:517-574
Let G=H be a semisimple symmetric space, that is, G is a connected semisimple real Lie group with an involution ?, and H is an open subgroup of the group of xed points for ? in G. The main purpose of this paper is to study an explicit Fourier transfo
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https://explore.openaire.eu/search/publication?articleId=doi_________::3389c7857f4a288a24f4aa8517350500
https://doi.org/10.1007/s002220050193
https://doi.org/10.1007/s002220050193
Publikováno v:
Ark. Mat. 35, no. 1 (1997), 59-86
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd2c40ef4da494832671fc9089c40608
https://doi.org/10.1007/bf02559593
https://doi.org/10.1007/bf02559593
Autor:
Erik P. van den Ban, Johan A.C. Kolk
Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, math
Autor:
J. A. C. Kolk, Erik P. van den Ban
Publikováno v:
Progress in Mathematics ISBN: 9780817682439
Geometric Aspects of Analysis and Mechanics
Geometric Aspects of Analysis and Mechanics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d5050a7642a7618dd038cc1a1738240
https://doi.org/10.1007/978-0-8176-8244-6
https://doi.org/10.1007/978-0-8176-8244-6
We prove that any coadjoint orbit with real eigenvalues of a complex semisimple Lie group, equipped with the real part of the canonical holomorphic symplectic form, is symplectomorphic to the cotangent bundle of a (partial) flag manifold. Moreover, w
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8588c51b34d1d03bd5fc7e6aa40822c5
Autor:
Erik P. van den Ban
Publikováno v:
Lie Theory ISBN: 9780817637774
This chapter is based is on a series of lectures given at the meeting of the European School of Group Theory in August 2000, Odense, Denmark. The purpose of the lectures was to explain the structure of the Plancherel decomposition for a reductive sym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33d7813d3f324b758fb80a288e6f191a
https://doi.org/10.1007/0-8176-4426-1_1
https://doi.org/10.1007/0-8176-4426-1_1
Publikováno v:
European Congress of Mathematics ISBN: 9783034894975
We give a relatively non-technical survey of some recent advances in the Fourier theory for semisimple symmetric spaces. There are three major results: An inversion formula for the Fourier transform, a Paley—Wiener theorem, which describes the Four
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https://explore.openaire.eu/search/publication?articleId=doi_________::7627a4a944091e98f9dd280a25880f47
https://doi.org/10.1007/978-3-0348-8268-2_35
https://doi.org/10.1007/978-3-0348-8268-2_35