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Reducing Subspaces of the Dual Truncated Toeplitz Operator

open access: yesJournal of Function Spaces, 2018
We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum and reducing subspaces of some special dual truncated Toeplitz operator are characterized.
Yinyin Hu   +4 more
doaj   +1 more source

Toeplitz Operators on Symplectic Manifolds [PDF]

open access: yesJournal of Geometric Analysis, 2008
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds ...
Ma, Xiaonan, Marinescu, George
openaire   +3 more sources

Modeling and Forecasting Stochastic Seasonality: Are Seasonal Autoregressive Integrated Moving Average Models Always the Best Choice?

open access: yesJournal of Forecasting, Volume 45, Issue 1, Page 316-334, January 2026.
ABSTRACT In this paper, we study models for stochastic seasonality and compare the well‐known SARIMA models to Seasonal Autoregressive Unit Root Moving Average (SARUMA) models. SARUMA models assume that the polynomial of the stationarizing differencing operator has roots on the unit circle at some seasonal frequencies, while SARIMA models impose roots ...
Evangelos E. Ioannidis   +1 more
wiley   +1 more source

Dual Toeplitz Operators on the Orthogonal Complement of the Generalized Fock Space

open access: yesMathematics
We characterize the boundedness and compactness of dual Toeplitz operators on the orthogonal complement of the generalized Fock space. We study the problem when the finite sum of the dual Toeplitz products is compact.
Baoli Xie, Jianxiang Dong, Caochuan Ma
doaj   +1 more source

Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley   +1 more source

Subnormality and quasinormality of Toeplitz operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
Halmos asks whether every subnormal Toeplitz operator on H2 is either analytic or normal. It is shown that for a certain class of Toeplitz operators, the subnormality implies either analyticity or normality.
Ito, Takashi, Tin Kin Wong
openaire   +2 more sources

Experimental studies on multi‐scale data‐driven methods within the framework of structural health monitoring

open access: yesCivil Engineering Design, Volume 7, Issue 4, Page 147-168, December 2025.
Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer   +13 more
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun   +2 more
wiley   +1 more source

Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

open access: yesOpen Mathematics, 2015
In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
doaj   +1 more source

Normal Toeplitz Operators on the Bergman Space

open access: yesMathematics, 2020
In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic
Sumin Kim, Jongrak Lee
doaj   +1 more source

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