Cusp forms for reductive symmetric spaces of split rank one
E. van den Ban, J. Kuit, Representation Theory of the American Mathematical Society 21 (2017) 467–533.
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Journal Article
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| English
Author
van den Ban, Erik;
Kuit, Job
Abstract
<p>For reductive symmetric spaces <inline-formula content-type="math/mathml">
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<mml:annotation encoding="application/x-tex">G/H</mml:annotation>
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</inline-formula> of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra–Schwartz functions are absolutely convergent. Using these integrals we introduce a notion of cusp forms and investigate its relation with representations of the discrete series for <inline-formula content-type="math/mathml">
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Publishing Year
Journal Title
Representation Theory of the American Mathematical Society
Volume
21
Issue
17
Page
467-533
ISSN
LibreCat-ID
Cite this
van den Ban E, Kuit J. Cusp forms for reductive symmetric spaces of split rank one. Representation Theory of the American Mathematical Society. 2017;21(17):467-533. doi:10.1090/ert/507
van den Ban, E., & Kuit, J. (2017). Cusp forms for reductive symmetric spaces of split rank one. Representation Theory of the American Mathematical Society, 21(17), 467–533. https://doi.org/10.1090/ert/507
@article{van den Ban_Kuit_2017, title={Cusp forms for reductive symmetric spaces of split rank one}, volume={21}, DOI={10.1090/ert/507}, number={17}, journal={Representation Theory of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={van den Ban, Erik and Kuit, Job}, year={2017}, pages={467–533} }
Ban, Erik van den, and Job Kuit. “Cusp Forms for Reductive Symmetric Spaces of Split Rank One.” Representation Theory of the American Mathematical Society 21, no. 17 (2017): 467–533. https://doi.org/10.1090/ert/507.
E. van den Ban and J. Kuit, “Cusp forms for reductive symmetric spaces of split rank one,” Representation Theory of the American Mathematical Society, vol. 21, no. 17, pp. 467–533, 2017, doi: 10.1090/ert/507.
van den Ban, Erik, and Job Kuit. “Cusp Forms for Reductive Symmetric Spaces of Split Rank One.” Representation Theory of the American Mathematical Society, vol. 21, no. 17, American Mathematical Society (AMS), 2017, pp. 467–533, doi:10.1090/ert/507.
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