Results 31 to 40 of about 1,677 (75)
Arithmetic progressions and holomorphic phase retrieval
Abstract We study the determination of a holomorphic function from its absolute value. Given a parameter θ∈R$\theta \in \mathbb {R}$, we derive the following characterization of uniqueness in terms of rigidity of a set Λ⊆R$\Lambda \subseteq \mathbb {R}$: if F$\mathcal {F}$ is a vector space of entire functions containing all exponentials eξz,ξ∈C∖{0}$e^{
Lukas Liehr
wiley +1 more source
Properties of Toeplitz operators on analytic function spaces : from function symbols to distributions [PDF]
Toeplitz operators are among the most important classes of concrete operators with applications to several branches of pure and applied mathematics. This doctoral thesis deals with Toeplitz operators on analytic Bergman, Bloch and Fock spaces. Usually, a
Perälä, Antti
core
Toeplitz operators defined by sesquilinear forms: Fock space case
The classical theory of Toeplitz operators in spaces of analytic functions deals usually with symbols that are bounded measurable functions on the domain in question.
Rozenblum, Grigori, Vasilevski, Nikolai
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On Haptotropic Rearrangements of Diphosphene and Diarsene Ligands in Titanium Complexes
Addition of simple Lewis basic ligands L, such as MeCN or CO among others, results in a shift of the hapticity of the dipnictene ligand in titanocene dipnictene complexes Cp2Ti(Pn2R2) (Pn=P, As) from η2 to η1. While the starting complexes are TiIV species the η1 complexes are best described as singlet biradicals with antiferromagnetically coupled ...
Andrey Petrov +4 more
wiley +1 more source
C−H activation: Rh‐phosphine complexes can activate C−H bonds in otherwise unreactive alkanes. Quantum chemical calculations provide mechanistic insights into the generation of the active species which is formed via the light‐induced CO dissociation at Rh(I) complexes featuring trimethylphosphine and 1,2‐bis(dimethylphosphino)ethane.
Tianbai Huang +3 more
wiley +1 more source
Weighted composition operators between different Fock spaces
We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path ...
Khoi, Le Hai, Tien, Pham Trong
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An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications
Abstract In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Daniel Alpay, Kamal Diki, Mihaela Vajiac
wiley +1 more source
Integral operators induced by the Fock kernel [PDF]
We study the $L^p$ boundedness and find the norm of a class of integral operators induced by the reproducing kernel of Fock spaces over $C^n$.Comment: 21 ...
Dostanic, Milutin, Zhu, Kehe
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The Douglas question on the Bergman and Fock spaces
17 ...
Chen, Jian-hua +2 more
openaire +2 more sources
The extended eigenvalues of composition operator on Bergman space and Fock space
A complex scalar k is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=kXA. There are some solutions to the problem of computing the extended eigenvalues for composition operators induced on the Fock space and Bergman space by linear fractional transformationsof ...
openaire +2 more sources

