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cuspidal
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Definitions of cuspidal in various dictionaries:
adj - having cusps or points
adj - having a cusp
CUSPIDAL - In number theory, cuspidal representations are certain representations of algebraic groups that occur discretely in ...
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Having cusps |
having cusps or points |
Cuspidal might refer to |
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In number theory, Cuspidal representations are certain representations of algebraic groups that occur discretely in * * * * * L * * 2 * * * * * {\displaystyle L^{2}} * spaces. The term cuspidal is derived, at a certain distance, from the cusp forms of classical modular form theory. In the contemporary formulation of automorphic representations, representations take the place of holomorphic functions; these representations may be of adelic algebraic groups. * When the group is the general linear group * * * * * GL * * 2 * * * * * {\displaystyle \operatorname {GL} _{2}} * , the cuspidal representations are directly related to cusp forms and Maass forms. For the case of cusp forms, each Hecke eigenform (newform) corresponds to a cuspidal representation. |