贪婪性
发表于 2025-3-23 11:55:18
Quantization, representation taken from the prolongation of the projective discrete series of representations of .(2,ℝ) .When τ = -1/2, the representation in question is equivalent, under some intertwining, to the even part of the one-dimensional metaplectic representation, and that obtained when τ = 1/2 is equi
Ornament
发表于 2025-3-23 16:54:16
Quantization and Modular Forms,to the representation .. The basic distribution . they are built from, substituting for the distributions δeven and δodd of Chapter 1, is just another realization of a modular form . of weight τ + 1 of some kind. Section 9 describes some possibilities: one may for instance consider a power of the De
迅速飞过
发表于 2025-3-23 19:09:04
Back to the Weyl Calculus,it does not have to coincide with 4 or 12 any more. Then, not every element of (ℤ/.ℤ). is a square, and we have to consider the full set of distributions ϖ. as defined in Lemma 3.2: we introduce the linear combination . again a Γ-invariant distribution. Recall that ? is the set of squares in (ℤ/.ℤ).
ADOPT
发表于 2025-3-24 00:49:56
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机警
发表于 2025-3-24 05:06:52
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Jubilation
发表于 2025-3-24 09:54:56
Book 2008r on the line the distributions m (12) ? d (x)= ? (m)? x? , even 12 m?Z m (4) d (x)= ? (m)? x? . (1.1) odd 2 m?Z 2 i?x UnderaFouriertransformation,orundermultiplicationbythefunctionx ? e , the?rst(resp. second)ofthesedistributionsonlyundergoesmultiplicationbysome 24th (resp. 8th) root of unity. Then
resilience
发表于 2025-3-24 14:14:46
Quantization and Modular Forms,ithmetic) coherent states for the representation π.+1 in the way described by a formula of resolution of the identity analogous to (1.2): note that the existence of such a formula depends in a crucial way on the fact that . is a cusp-form.
Outmoded
发表于 2025-3-24 15:05:59
2297-0355 eared in Progress in Mathematics) by the same author: one-di(12) (4) Let ? be the unique even non-trivial Dirichlet character mod 12, and let ? be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions m (12) ? d (x)= ? (m)? x? , even 12 m?Z m (4) d (x)= ? (m)
evanescent
发表于 2025-3-24 21:20:13
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缓和
发表于 2025-3-25 02:49:25
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