A quantum probabilistic approach to Hecke algebras for 𝔭-adic PGL2
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- Takehiro Hasegawa
- Shiga University, Otsu, Shiga 520-0862, Japan
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- Hayato Saigo
- Nagahama Institute of Bio-Science and Technology, 1266, Tamura, Nagahama 526-0829, Japan
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- Seiken Saito
- Nagoya Bunri University, 365, Maeda, Inazawa-cho, Inazawa, Aichi 492-8520, Japan
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- Shingo Sugiyama
- Department of Mathematics, College of Science and Technology, Nihon University, Suruga-Dai, Kanda, Chiyoda, Tokyo 101-8308, Japan
Abstract
<jats:p>The subject of the present paper is an application of quantum probability to [Formula: see text]-adic objects. We give a quantum-probabilistic interpretation of the spherical Hecke algebra for [Formula: see text], where [Formula: see text] is a [Formula: see text]-adic field. As a byproduct, we obtain a new proof of the Fourier inversion formula for [Formula: see text].</jats:p>
Journal
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- Infinite Dimensional Analysis, Quantum Probability and Related Topics
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Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 (03), 1850015-, 2018-09
World Scientific Pub Co Pte Ltd
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Details 詳細情報について
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- CRID
- 1360567186122870016
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- ISSN
- 17936306
- 02190257
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- Data Source
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- Crossref
- KAKEN