On the boundedness of automorphic forms
On the boundedness of automorphic forms
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论自守形式的有界性
DOI：
10.1090/s0002-9939-1968-0239083-2
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发表时间：
1968
期刊：
影响因子：
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通讯作者：
C. Earle
中科院分区：
文献类型：
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作者：
D. Drasin;C. Earle
由于当且仅当P是第一类有限生成群[2，[6d]时，X具有有限（非欧）面积，我们的定理是对众所周知的事实的推广，即当X具有有限面积时，Aq(P) = Bq(r)。2. 引理的证明。众所周知，对于每一个有限生成的第二类Fuchsian群P，都对应着一个紧致有边黎曼曲面X，其内部X使得
Since X has finite (noneuclidean) area if and only if P is a finitely generated group of the first kind [2 , [6d, our theorems are generalizations of the well-known fact that Aq(P) = Bq(r) when X has finite area. 2. Proof of the Lemma. It is well known [2], [6] that to each finitely generated Fuchsian group P of the second kind there corresponds a compact bordered Riemann surface X with interior X such that