Results 101 to 110 of about 5,402 (301)

Invertibility in the Flag Kernels Algebra on the Heisenberg Group [PDF]

Journal of Fourier Analysis and Applications, 2015
Flag kernels are tempered distributions which generalize these of Calderon-Zygmund type. For any homogeneous group $\mathbb{G}$ the class of operators which acts on $L^{2}(\mathbb{G})$ by convolution with a flag kernel is closed under composition. In the case of the Heisenberg group we prove the inverse-closed property for this algebra.
openaire   +3 more sources

Simulating Image Coaddition with the Nancy Grace Roman Space Telescope. III. Software Improvements and New Linear Algebra Strategies

The Astrophysical Journal Supplement Series
The Nancy Grace Roman Space Telescope will implement a devoted weak gravitational lensing program with its High Latitude Wide Area Survey. For cosmological purposes, a critical step in Roman image processing is to combine dithered undersampled images ...
Kaili Cao, Christopher M. Hirata, Katherine Laliotis, Masaya Yamamoto, Emily Macbeth, M. A. Troxel   +5 more
doaj   +1 more source

Endomorphic GE-derivations

AIMS Mathematics
Using the binary operation '$ {\Lsh} $' on a GE-algebra $ {X} $ given by $ {\Lsh}({x}, {y}) = ({y}{*} {x}){*} {x} $ and the GE-endomorphism $ {\Omega} : {X} \rightarrow {X} $, the notion of $ {\Omega}_{(l, r)} $-endomorphic (resp., $ {\Omega}_{(r, l ...
Young Bae Jun, Ravikumar Bandaru, Amal S. Alali   +2 more
doaj   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

KERNELS OF REPRESENTATIONS AND COIDEAL SUBALGEBRAS OF HOPF ALGEBRAS [PDF]

Glasgow Mathematical Journal, 2011
AbstractWe define left and right kernels of representations of Hopf algebras. In the case of group algebras, left and right kernels coincide and they are the usual kernels of modules. In the general case, we show that these kernels coincide with the categorical left and right Hopf kernels of morphisms of Hopf algebras defined in Andruskiewitsch and ...
openaire   +3 more sources

A Method of Ontology Integration for Designing Intelligent Problem Solvers

Applied Sciences, 2019
Nowadays, designing knowledge-based systems which involve knowledge from different domains requires deep research of methods and techniques for knowledge integration, and ontology integration has become the foundation for many recent knowledge ...
Nhon V. Do, Hien D. Nguyen, Thanh T. Mai   +2 more
doaj   +1 more source

Enhancing generalized spectral clustering with embedding Laplacian graph regularization

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang, Jian Yang, Bob Zhang, Yang Tang, Wenli Du, Bihan Wen   +5 more
wiley   +1 more source

Notes on Whitehead space of an algebra

International Journal of Mathematics and Mathematical Sciences, 2002
Let R be a ring, and denote by [R,R] the group generated additively by the additive commutators of R. When Rn=Mn(R) (the ring of n×n matrices over R), it is shown that [Rn,Rn] is the kernel of the regular trace function modulo [R,R].
M. Arian-Nejad
doaj   +1 more source

Connection between the algebra of kernels on the sphere and the Volterra algebra on the one-sheeted hyperboloid : holomorphic “perikernels” [PDF]

, 1992
J. Bros, G. A. Viano
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Putnam-Fuglede theorem and the range-kernel orthogonality of derivations

International Journal of Mathematics and Mathematical Sciences, 2001
Let ℬ(H) denote the algebra of operators on a Hilbert space H into itself. Let d=δ or Δ, where δAB:ℬ(H)→ℬ(H) is the generalized derivation δAB(S)=AS−SB and ΔAB:ℬ(H)→ℬ(H) is the elementary operator ΔAB(S)=ASB−S. Given A,B,S∈ℬ(H), we say that the pair (A,B)
B. P. Duggal
doaj   +1 more source