Results 41 to 50 of about 1,076,716 (239)

Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball

Journal of Function Spaces and Applications, 2012
We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
doaj   +1 more source

Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies

, 2007
We propose a method for computing any Gelfand-Dickey tau function living in Segal-Wilson Grassmannian as the asymptotics of block Toeplitz determinant associated to a certain class of symbols.
A. Borodin, A. Böttcher, A. Pressley, A. Schwarz, A.R. Its, C. Itzykson, D.H. Sattinger, E. Basor, E. Basor, E.L. Ince, G. Segal, G.F. Helminck, H. Aratyn, H. Widom, H. Widom, H. Widom, I. Krichever, J. Leur van de, J. Plemelj, J.C. Geronimo, J.L. Burchnall, J.L. Burchnall, J.L. Burchnall, L.A. Dickey, L.A. Dickey, M. Cafasso, M. Mulase, M. Sato, P. Francesco Di   +28 more
core   +2 more sources

On the Commutativity of a Certain Class of Toeplitz Operators

Concrete Operators, 2014
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam, Randriamahaleo Fanilo, Zakariasy Lova   +2 more
doaj   +1 more source

Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation

, 2017
In this paper we derive new uniform convergence estimates for the V-cycle MGM applied to symmetric positive definite Toeplitz block tridiagonal matrices, by also discussing few connections with previous results. More concretely, the contributions of this
Chen, Minghua, Deng, Weihua, Serra-Capizzano, Stefano   +2 more
core   +1 more source

Dual Toeplitz Operators on Bounded Symmetric Domains

Mathematics
We give some characterizations of dual Toeplitz operators acting on the orthogonal complement of the Bergman space over bounded symmetric domains. Our main result characterizes those finite sums of products of Toeplitz operators that are themselves dual ...
Jianxiang Dong
doaj   +1 more source

Toeplitz Operators on the Dirichlet Space of 𝔹n

Abstract and Applied Analysis, 2012
We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
doaj   +1 more source

Securing Generative Artificial Intelligence with Parallel Magnetic Tunnel Junction True Randomness

Advanced Intelligent Systems, EarlyView.
True random numbers can protect generative artificial intelligence (GAI) models from attacks. A highly parallel, spin‐transfer torque magnetic tunnel junction‐based system is demonstrated that generates high‐quality, energy‐efficient random numbers.
Youwei Bao, Shuhan Yang, Hyunsoo Yang
wiley   +1 more source

Fredholmness and compactness of truncated Toeplitz and Hankel operators

, 2014
We prove the spectral mapping theorem $\sigma_e(A_\phi) = \phi(\sigma_e(A_z))$ for the Fredholm spectrum of a truncated Toeplitz operator $A_\phi$ with symbol $\phi$ in the Sarason algebra $C+H^\infty$ acting on a coinvariant subspace $K_\theta$ of the ...
Bessonov, R. V.
core   +1 more source

Essential positivity for Toeplitz operators on the Fock space [PDF]

Integral equations and operator theory
In this short note, we discuss essential positivity of Toeplitz operators on the Fock space, as motivated by a recent question of Perälä and Virtanen (Proc. Amer. Math. Soc. 151:4807–4815, 2023).
R. Fulsche
semanticscholar   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source