Results 211 to 220 of about 4,102,538 (267)
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Quaternion Fourier Transform and Generalized Lipschitz Classes
Advances in Applied Clifford Algebras, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loualid, El Mehdi +2 more
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Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes
Acta Mathematica Vietnamica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El Mehdi Loualid +2 more
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α-Bloch functions and Lipschitz classes
Acta Mathematica Sinica, English Series, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Chen
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Lipschitz classes on local fields
Science in China Series A: Mathematics, 2007The Lipschitz class Lipα on a local field K is defined in this note, and the equivalent relationship between the Lipschitz class Lipα and the Holder type space C α (K) is proved. Then, those important characteristics on the Euclidean space R n and the local field K are compared, so that one may interpret the essential ...
Wei-yi Su, Guo-xiang Chen
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Generalized Lipschitz Classes and Fourier Coefficients
Mathematical Notes, 2004The author proves several general results. Among others he gives a criterion for a function to belong to the generalized Lipschitz class defined by using moduli of smoothness of positive orders and presents necessary and sufficient conditions for this criterion to hold.
S. Tikhonov
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Fourier transforms in generalized Lipschitz classes
Proceedings of the Steklov Institute of Mathematics, 2013We obtain sufficient conditions for the Fourier transform of a function f ∈ L1(ℝ) to belong to generalized Lipschitz classes defined by the modulus of smoothness of order m. The sharpness of these conditions is established in the cases when f(t) ≥ 0 on ℝ or tf (t) ≥ 0 on ℝ.
S. S. Volosivets, B. I. Golubov
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Singular Integral Operator Involving Higher Order Lipschitz Classes
Mediterranean Journal of Mathematics, 2017As in [\textit{R. Abreu-Blaya} et al., Bull. Braz. Math. Soc. (N.S.) 48, No. 2, 253--260 (2017; Zbl 1375.30061)] the poly-analytic Cauchy integral is extended to higher-order Lipschitz classes for simply connected plane domains with smooth boundary. Concentrating on the bi-analytic case the boundary integral with the Bitsadze kernel rather than the ...
Juan Bory-Reyes +2 more
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Duality for General Lipschitz Classes and Applications
Proceedings of the London Mathematical Society, 1997As shown by the author in Proc. Am. Math. Soc. 115, 345-352 (1992; Zbl 0768.46012), for every metric space \((K,d)\) with compact closed balls one has \((\text{lip }\varphi(K))^{**}= \text{Lip }\varphi(K)\), where \(\varphi\) is any majorant (i.e., nondecreasing function on \(\mathbb{R}_+\) with \(\varphi(0+)= \varphi(0)=0\) such that \(\varphi(t)/t ...
LG Hanin
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Lipschitz classes and convolution approximation processes
Mathematical Proceedings of the Cambridge Philosophical Society, 1981For a continuous function f(x) on the reals or on the circle T (continuous and 2π periodic) we say that f(x) belongs to the generalized Lipschitz class, denoted by f ∈ Lip* α, ifwhere and Δhf(x) = f(x + ½h)−f(x−½h). For a convolution approximation process given bywherewe shall investigate equivalence relations between the asymptotic behaviour of (d/dx)
Z. Ditzian
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Lipschitz classes on 0-dimensional groups
Mathematical Proceedings of the Cambridge Philosophical Society, 19671. Let G be a compact metric 0-dimensional Abelian group. Its dual or character group Γ is a discrete countable torsion group. We denote elements of G by x, of Γ by y, the value of the character y at x by (x, y), and the Fourier transform of f by
P. Walker
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