Results 21 to 30 of about 508,252 (212)
Entropy, 2021 In our previous work, by combining the Hilbert scan with the symbol grouping method, efficient run-length-based entropy coding was developed, and high-efficiency image compression algorithms based on the entropy coding were obtained.
Yibiao Rong, Xia Zhang, Jianyu Lin
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Invertible and normal composition operators on the Hilbert Hardy space of a half–plane
Concrete Operators, 2016 Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are ...
Matache Valentin
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Explicit form of the Hilbert symbol for polynomial formal groups [PDF]
St. Petersburg Mathematical Journal, 2015 Summary: Let \(K\) be a local field, \(c\) a unit in \(K\), and \(F_c (X,Y) = X + Y + cXY\) a polynomial formal group that gives rise to a formal module \(F_c(\mathfrak{M})\) on the maximal ideal in the ring of integers of \(K\). Assume that \(K\) contains the group \(\mu _{F_c, n}\) of the roots of isogeny \([p^n]_c(X)\). The natural Hilbert symbol \((
Vostokov, Sergei Vladimirovich +1 more
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On the Hilbert symbol in cyclotomic fields [PDF]
Acta Arithmetica, 2002 Let \(\ell\geq 5\) be a prime, \(\zeta\) a primitive \(\ell\)th root of unity in the algebraic closure of \(\mathbb Q_\ell\), \(K=\mathbb Q(\zeta)\), \(\lambda= 1-\zeta\), and \(\widehat{K}=\mathbb Q_\ell(\zeta)\) the \(\lambda\)-adic completion of \(K\). The Hilbert symbol \(( ,)_\lambda\) defines an orthogonality relation in \(\widehat{K}^\ast\). Let
C. Hélou
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New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space
Operators and Matrices, 2021 We use Kittaneh and Manasrah inequality and Kian’s functional calculus method to prove some new inequalities for Berezin symbols and Berezin numbers of operators.
Ramiz Tapdigoglu
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THE COUPLED-CLUSTER APPROACH TO QUANTUM MANY-BODY PROBLEM IN A THREE-HILBERT-SPACE REINTERPRETATION [PDF]
Acta Polytechnica, 2014 The quantum many-body bound-state problem in its computationally successful coupled cluster method (CCM) representation is reconsidered. In conventional practice one factorizes the groundstate wave functions |Ψ) = eS |Φ) which live in the “physical ...
Raymond F. Bishop, Miloslav Znojil
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An explicit formula for the Hilbert symbol of a formal group [PDF]
Annales De L'Institut Fourier, 2011 A Brückner-Vostokov formula for the Hilbert symbol of a formal group was established by Abrashkin under the assumption that roots of unity belong to the base field. The main motivation of this work is to remove this hypothesis. It is obtained by combining methods of (
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Jacobi sums and the Hilbert symbol for a power of two
Journal of the Mathematical Society of Japan, 1996 Let \(J_m^{(a)}(\mathfrak p)\) be the Jacobi sum defined for a tuple of integers \((a)\) and a prime ideal \(\mathfrak p\), not dividing \(m\), of the \(m\)th cyclotomic field. Extending multiplicatively yields a map \(\mathfrak a \mapsto J_m^{(a)}(\mathfrak a)\), which \textit{A. Weil} [Trans. Am. Math. Soc.
H. Miki, H. Miki
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Adjoints of Generalized Composition Operators with Linear Fractional Symbol [PDF]
Extracta Mathematicae, 2016 Given a positive integer n and φ : U → U, an analytic self-map of the open unit disc in the complex plane, the generalized composition operator Cφ(n) is defined by Cφ(n)f = f (n) ◦ φ for f belonging to some Hilbert space of analytic functions on U.
Aliakbar Salaryan, Hamid Vaezi
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Multiplicativity of the local Hilbert symbol [PDF]
Pacific Journal of Mathematics, 1964 R. Jacobowitz
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