Various commensurability relations in Hecke pairs and property (RD)
نویسندگان
چکیده
منابع مشابه
Intermediate Rank and Property Rd
We introduce concepts of intermediate rank for countable groups that “interpolate” between consecutive values of the classical (integer-valued) rank. Various classes of groups are proved to have intermediate rank behaviors. We are especially interested in interpolation between rank 1 and rank 2. For instance, we construct groups “of rank 7 4 ”. Our setting is essentially that of non positively ...
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For a locally compact group, the property of rapid decay (property RD) gives a control on the convolutor norm of any compactly supported function in terms of its L2-norm and the diameter of its support. We characterize the Lie groups that have property RD. 0. Introduction The property of rapid decay (property RD) emerged from the work of U. Haagerup in [15] and was first studied systematically ...
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In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished embedded Hecke operators. We then show that this space is Hecke invariant with respect to all good Hecke operators. As explicit examples we give Eisenstein series. Conversely...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2014
ISSN: 0035-7596
DOI: 10.1216/rmj-2014-44-5-1631