Geometric Hilbert modular forms for G ∗ and G
On duality of modular G-Riesz bases and G-Riesz bases in Hilbert C*-modules
... of modular g-Riesz bases and g-Riesz bases in Hilbert ...of g-Riesz bases in Hilbert C*- modules, by using properties of operator ...given g-Riesz basis in Hilbert ...
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Eigenvarieties associated to Hilbert modular forms
... quaternionic modular forms (over Q) and then obtaining bounds on the Newton polygon of U p , which (due to what appears to be a numerical coincidence) is sharp at infinitely many points; this then allows ...
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EXPLICIT METHODS FOR HILBERT MODULAR FORMS
... classical modular form over Q or associated to an elliptic curve which is uniformized by a Shimura ...Those forms f which have the property that a p (f ) = a p (f ), where denotes the Galois involution, are ...
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Hilbert modular forms of weight 1/2
... The Hilbert modular forms (of half integral weight) are modular forms (of half integral weight) of several ...weight modular forms over ...on Hilbert modular ...
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An extended-G geometric family
... exponential geometric (EEG), modified Weibull geometric (MWG), exponen- tial power geometric (EPG), log-Weibull geometric (LWG), generalized power Weibull geometric (GPWG), among ...
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On Galois representations associated to low weight Hilbert-Siegel modular forms
... In Chapter 5, we prove the first part of Theorem A. Our proof follows a similar struc- ture to the proof of [Ram13, Theorem B]. In Theorem 5.2.1, we prove that, if ρ π,` is reducible, then it decomposes as a direct sum ...
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Characterization of g-riesz Basis and their Dual in Hilbert A-module
... a g-Riesz basis. Khosravi in [9] introduced the notion of modular g-Riesz basis in Hilbert A- module and he shares many properties with Riesz basis and g-Riesz basis in Hilbert ...
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Multi-Tensors of Differential Forms on the Hilbert Modular Variety and on Its Suhvarieties, II
... The proof of Theorem is reduced to find the modular form satisfying the condition in Proposition I for any fixed D, which in substance, we carry out in the prese[r] ...
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G-frames in Hilbert Modules Over Pro-C*-algebras
... r Hilbert space, were introduced by Duffin ames that are a generalization of bases in and Schaeffer [9] in ...diferent forms. G-frames are natural gener- alizations of frames in Hilbert space ...
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Euler systems for Hilbert modular surfaces
... , for integers m > 1, which satisfy Euler-system-type norm relations as m varies. Note that we do not need to impose any assumptions on the character of F , because our constructions do not require any self-duality ...
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Spaces of modular forms. Modular curves and dimensions
... Before Wiles, (FLT) ` had been proved for all primes ` less than four million. Taniyama–Shimura conjecture On the other hand, in the middle of the 20th century, the Japanese mathe- maticians Yutaka Taniyama and Goro ...
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MAASS FORMS, MODULAR FORMS, AND REPRESENTATION THEORY
... π ⊗ (det) r is still irreducible. Remark 0.2. I haven’t thought about how generally ?? 0.1 can be made to work. I think it should work for GL n , but I’m not sure about general reductive Lie groups. So it suffices to ...
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Billiards and Teichmüller curves on Hilbert modular surfaces
... Another classification of Teichm¨ uller curves in M 2 , using different meth- ods (such as the Kenyon-Smillie invariant [KS]), is announced by K. Calta in [Ca]. To set the stage for the discussion that follows, we have ...
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Controlled *-G-Frames and their *-G-Multipliers IN Hilbert C*-Modules
... Abstract. In this paper we introduce controlled ∗-g-frame and ∗- g-multipliers in Hilbert C ∗ -modules and investigate their properties . We demonstrate that any controlled ∗-g-frame is ...
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Dihedral groups and G Hilbert schemes
... As we have seen in Section 3.4.2, instead of having monomials in every irreducible rep- resentation we can have sums of monomials. This creates the new phenomenon of “twin” elements in the G-graphs which does not ...
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Exact g-frames in Hilbert spaces
... In order to make a systematic research on the above generalized frames, Sun [19] introduced a g-frame in a complex Hilbert space, which included the above frames in a complex Hilbert spa[r] ...
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Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
... to Hilbert spaces and Hilbert C ∗ ...of g-frames as a generalization of frames for bounded operators on Hilbert ...generated) Hilbert C ∗ -modules have been considered in ...
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G-Frames and Operator-Valued Frames in Hilbert Spaces
... in Hilbert spaces have been defined by Sun in [14] and operator-valued frames in Hilbert spaces have been defined by Kaftal et al in ...of g-frames is a g-frame, we get some relations between ...
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Characterization and stability of approximately dual g frames in Hilbert spaces
... of g-frames. See [14, 17, 18] for details. Given separable Hilbert spaces H and V , let {V j : j ∈ J} be a sequence of closed subspaces of V with J being a subset of integers ...
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11. Equivalent continuous g-frames in Hilbert C*-modules
... continuous g-frames in Hilbert C*-module under bounded ...continuous g-frames in Hilbert C*-module were ...continuous g-frames in Hilbert C*-module by the mapping of continuous ...
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