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Multidimensional Hadamard composition

Siberian Mathematical Journal, 1994
The generalization of the classical Hadamard theorem of multiplication of singularities onto multidimensional complex situation is connected with the construction of the Hadamard composition in \(\mathbb{C}^n\). Thus, the realization of analog of the Hadamard composition by use of the Szegö kernel of an arbitrary \(n\)-circular domain in \(\mathbb{C}^n\
exaly   +2 more sources

Multidimensional Hadamard composition and sums with linear constraints on the summation indices

Siberian Mathematical Journal, 1989
Let D be an (m\(\times n)\)-dimensional matrix with integer entries and let \(\mu \in {\mathbb{Z}}^ n\). Given two power series \(f(\xi)=\sum a(\alpha)\xi^{\alpha}\), \((\xi \in {\mathbb{C}}^ n\), \(\alpha \in ({\mathbb{Z}}_+)^ n)\) and \(g(\eta)=\sum b(\beta)\eta^{\beta}\) \((\eta \in {\mathbb{C}}^ m\), \(\beta \in ({\mathbb{Z}}_+)^ m)\) the author ...
exaly   +3 more sources

Hadamard matrices of composite orders

2022
Summary: In this paper, we give a method for the constructions of Hadamard matrices of composite orders by using suitable \(T\)-matrices and known Hadamard matrices. We establish a formula for \(T\)-matrices and Hadamard matrices and discuss under what condition we can get \(T\)-matrices from the known Hadamard matrices.
Xia, Tianbing   +3 more
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On Hadamard Compositions of Gelfond–Leontiev Derivatives of Analytic Functions

Russian Mathematics, 2020
For analytic functions f and g, the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders. A relation between the behaviors of the maximal terms of the Hadamard composition of Gelfond-Leont'ev derivatives and those of the Gelfond-Leont'ev derivative of a Hadamard composition is ...
Sheremeta, M. M., Mulyava, O. M.
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Realization of the Hadamard gate based on superposition of the composite solitons

Physics Letters A, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Uthayakumar, U. Al Khawaja
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HADAMARD COMPOSITION OF SERIES IN SYSTEMS OF FUNCTIONS

Bukovinian Mathematical Journal, 2023
For regularly converging in ${\Bbb C}$ series $A_j(z)=\sum\limits_{n=1}^{\infty}a_{n,j}f(\lambda_nz)$, $1\le j\le p$, where $f$ is an entire transcendental function, the asymptotic behavior of a Hadamard composition $A(z)=\break=(A_1*...*A_p)_m(z)=\sum\limits_{n=1}^{\infty} \left(\sum\limits_{k_1+\dots+k_p=m}c_{k_1...k_p}a_{n,1}^{k_1}\cdot...\cdot a_{n,
openaire   +1 more source

Hermite-Hadamard type inequalities for composite m-convex functions

AIP Conference Proceedings, 2021
The Hermite-Hadamard type inequality has been extended to some classes of convex functions and composite convex functions. In this paper, we refine the definition of composite-ɸ−1 convex function and definition of m-convex function to define the composite-ɸ−1 m-convex functions. From the definition, we obtain some inequalities related to GA-m-convexity,
N.M.F.H.N.B. Alam, Ajab Bai Akbarally
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The multidimensional Hadamard composition and Szegö kernel

Siberian Mathematical Journal, 1983
Translation from Sib. Mat. Zh. 24, No.3(139), 3-10 (Russian) (1983; Zbl 0519.32002).
Ajzenberg, L. A., Lejnartas, E. K.
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The Superconvergence of the Composite Trapezoidal Rule for Hadamard Finite Part Integrals

Numerische Mathematik, 2005
Several papers have dealt with quadrature formulas for evaluating Hadamard finite part integrals (or hypersingular integrals) with \((p+1)\)-order singularity. On the other hand the composite trapezoidal method has been applied for numerical integration and numerical solution of integral equations with smooth or weakly singular kernels. The paper deals
Jiming Wu, Weiwei Sun 0002
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Composite complex Hadamard spectra of Boolean functions

1996 IEEE International Symposium on Circuits and Systems (ISCAS), 1996
A new class of orthogonal transform, Complex Hadamard Transform is proposed as a spectral technique for analysis, synthesis and testing of Boolean functions. The method is presented to evaluate Complex Hadamard Spectra of AND, OR and XOR of Boolean functions directly front the spectra of the separate Boolean functions.
B.J. Falkowski, S. Rahardja
openaire   +1 more source

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