Results 11 to 20 of about 337,343 (177)

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.
K. A.R AGGARWAL AND M, Professor S. Raghwan of Tata   +1 more
semanticscholar   +3 more sources

Fixed Point of α-Modular Nonexpanive Mappings in Modular Vector Spaces ℓp(·)

Symmetry
Let C denote a convex subset within the vector space ℓp(·), and let T represent a mapping from C onto itself. Assume α=(α1,⋯,αn) is a multi-index in [0,1]n such that ∑i=1nαi=1, where α1>0 and αn>0.
B. B. Dehaish, M. Khamsi
semanticscholar   +2 more sources

Sequential Data Fusion via Vector Spaces: Complex Modular Neural Network Approach [PDF]

2005 IEEE Workshop on Machine Learning for Signal Processing, 2005
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 ...
Danilo P. Mandic, S. L. Goh, Kazuyuki Aihara   +2 more
semanticscholar   +2 more sources

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.
V. Karakaya, H. Dutta
semanticscholar   +4 more sources

A fixed point theorem for uniformly Lipschitzian mappings in modular vector spaces

Filomat, 2017
We give a fixed point theorem for uniformly Lipschitzian mappings defined in modular vector spaces which have the uniform normal structure property in the modular sense. We also discuss this result in the variable exponent space lp(.) = {(xn) ? RN; ?? n=0 ??xn?p(n) < ? for some ? > 0.
R. M. Alfuraidan, M. Khamsi, Nesrin Manav   +2 more
semanticscholar   +3 more sources

Fixed point theory for generalized quasicontraction maps in vector modular spaces

Computers & Mathematics with Applications, 2011
In this paper, we introduce vector modular spaces and prove the existence of fixed points for generalized quasicontraction maps and discuss their uniqueness in these spaces.
A. Amini-Harandi
semanticscholar   +3 more sources

Fault-Tolerant Space Vector Modulation for Modular Multilevel Converters With Bypassed Faulty Submodules [PDF]

IEEE Transactions on Industrial Electronics, 2019
This paper develops a modulation based fault-tolerant (FT) strategy for restoring the operation of three-phase modular multilevel converters (MMCs) with faulty switches. This FT strategy is based on a proposed modified space vector modulation (SVM) technique that generates balanced line-to-line (line) voltages even in the case of a fault occurrence. In
Mohsen Aleenejad, Hamid Mahmoudi, Seyyedmahdi Jafarishiadeh, Reza Ahmadi   +3 more
openaire   +4 more sources

Periodic Points of Modular Firmly Mappings in the Variable Exponent Sequence Spaces ℓ_p(·)

Mathematics, 2021
In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ℓp(·).
Afrah A. N. Abdou, Mohamed A. Khamsi
doaj   +1 more source

Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓ_p(·). Mathematics 2020, 8, 76

Mathematics, 2020
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou, Mohamed Amine Khamsi
doaj   +1 more source

Smooth Compactifications of the Abel-Jacobi Section

Forum of Mathematics, Sigma, 2023
For $\theta $ a small generic universal stability condition of degree $0$ and A a vector of integers adding up to $-k(2g-2+n)$ , the spaces $\overline {\mathcal {M}}_{g,A}^\theta $ constructed in [AP21, HMP+22] are observed to ...
Sam Molcho
doaj   +1 more source