Limit formulas of period integrals for a certain symmetric pair (2)

• Tsuzuki Masao

  Department of Science and Technology, Sophia University

書誌事項

タイトル別名

• Limit formulas of period integrals for a certain symmetric pair II

抄録

Let (G,H) = (U(p,q),U(p-1,q) × U(1)) and {Γ_n} a tower of congruence uniform lattices in G. By the period integrals of automorphic forms on Γ$¥backslash$G along Γ_n ∩ H$¥backslash$H, we introduce a certain discrete measure dμ_{Γ_n}^H on the H-spherical unitary dual of G. It is shown that the sequence of measures dμ_{Γ_n}^H with growing n converges in a weak sense to the Plancherel measure dμ^H for the symmetric space H$¥backslash$G.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 63 (3), 1039-1084, 2011

  一般社団法人 日本数学会

キーワード

• periods of automorphic forms
• Plancherel measures
• relative trace formulas

詳細情報

• CRID: 1390001205115859072
• NII論文ID: 10029322036
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06331039
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 11170304
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11170304
• 本文言語コード: en
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