Results 21 to 30 of about 83,742 (251)
On some vector valued generalized difference modular sequence spaces
Filomat, 2011 In this paper we generalize the modular sequence space ?{Mk} by introducing the sequence space ?{Mk,p,q,s,?n/vm}. We give various properties relevant to algebraic and topological structures of this space and derived some other spaces.
KARAKAYA, Vatan, Dutta, Hemen
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On vector spaces of certain modular forms of given weights [PDF]
Bulletin of the Australian Mathematical Society, 1977 Let p be a rational prime and Qp be the field of p–adic numbers. Jean-Pierre Serre [Lecture Notes in Mathematics, 350, 191–268 (1973)] had defined p–adic modular forms as the limits of sequences of modular forms over the modular group SL2(Z). He proved that with each non-zero p–adic modular form there is associated a unique element called its weight k.
Aggarwal, A. R., Agrawal, M. K.
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Vector valued hermitian and quaternionic modular forms [PDF]
, 2014 Extending the method of the paper [FS3] we prove three structure theorems for vector valued modular forms, where two correspond to 4-dimensional cases (two hermitian modular groups, one belonging to the field of Eisenstein numbers, the other to the field
Freitag, Eberhard +1 more
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Efficient and flexible representation of higher-dimensional cognitive variables with grid cells.
PLoS Computational Biology, 2020 We shed light on the potential of entorhinal grid cells to efficiently encode variables of dimension greater than two, while remaining faithful to empirical data on their low-dimensional structure. Our model constructs representations of high-dimensional
Mirko Klukas, Marcus Lewis, Ila Fiete
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Control of Modular Multilevel Converters Using an Overlapping Multihexagon Space Vector Modulation Scheme [PDF]
IEEE Journal of Emerging and Selected Topics in Power Electronics, 2019 This paper introduces a novel space vector modulation scheme that can be applied for the control of modular multilevel cascaded converters (MMCCs) with any number of levels. This is achieved by using basic two-level or three-level hexagons to determine the switch states and the duty cycles separately within one tier of the converter which is a cascade ...
Oghenewvogaga James Komoda Oghorada +3 more
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Sequential Data Fusion via Vector Spaces: Complex Modular Neural Network Approach [PDF]
2005 IEEE Workshop on Machine Learning for Signal Processing, 2006 A data fusion approach based on complex and hyper-complex vectors spaces is presented. The benefits of such an approach are highlighted and potential applications are identified. A case study on simultaneous forecasting of wind speed and direction in the complex domain, together with a distributed serial sensor fusion topology illustrate the potential ...
D.P. Mandic, null Su Lee Goh, K. Aihara
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Topological Defect Lines and Renormalization Group Flows in Two Dimensions [PDF]
, 2019 We consider topological defect lines (TDLs) in two-dimensional conformal field theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs together with their attached defect operators provide models of fusion categories ...
Chang, Chi-Ming +4 more
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On Borcherds products associated with lattices of prime discriminant
, 2003 We show that certain spaces of vector valued modular forms are isomorphic to spaces of scalar valued modular forms whose Fourier coefficients are supported on suitable progressions.
Bruinier, Jan H., Bundschuh, M.
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On vector spaces of certain modular forms of given weights: Addendum [PDF]
Bulletin of the Australian Mathematical Society, 1982 The statement used in proving Theorem 2 of [1] needs explanation. This was pointed out to us by Professor S. Raghwan of Tata Institute of Fundamental Research, Bombay, and we gave the explanation of this in [2]. For the sake of completeness we give here the full proof of the theorem; filling the gap in the proof.
Aggarwal, A. R., Agrawal, M. K.
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On Some Modular Köthe Vector Valued Sequence Space using φ-Function
Journal of Physics: Conference Series, 2020 Abstract In this paper, we introduce some new modular vector valued sequence spaces defined by φ-function and give some basic result of this space.
E Herawati, N Irsyad
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