Results 21 to 30 of about 1,238,535 (282)
Extending the Set of Quadratic Exponential Vectors [PDF]
, 2008 We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by
Accardi, Luigi +2 more
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On bounded functions with bounded 𝑛th differences [PDF]
Proceedings of the American Mathematical Society, 1959 We consider real valued functions f defined in a closed interval I (bounded or unbounded), with nth differences $$ \Delta _{h}^{n}f(x) = \sum\limits_{i} {{{{( - 1)}}^{{n - i}}}} \left( {\begin{array}{*{20}{c}} n \\ i \\ \end{array} } \right)f(x + ih) $$ bounded for some fixed n.
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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Functions with bounded spectrum [PDF]
Transactions of the American Mathematical Society, 1995 Summary: Let \(0< p\leq \infty\), \(f(x)\in L_p(\mathbb{R}^n)\), and \(\text{supp } Ff\) be bounded, where \(F\) is the Fourier transform. We prove in this paper that the sequence \(|D^\alpha f|^{1/|\alpha|}_p\), \(\alpha\geq 0\), has the same behavior as the sequence \(\sup_{\xi\in \text{supp }Ff} |\xi^{\alpha}|^{1/|\alpha|}\), \(\alpha\geq 0\).
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Robust identification from band-limited data [PDF]
, 1997 Consider the problem of identifying a scalar bounded-input/bounded-output stable transfer function from pointwise measurements at frequencies within a bandwidth.
Baratchart, L. +3 more
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Legendre Wavelet expansion of functions and their Approximations
Ratio Mathematica, 2019 In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis.
Indra Bhan, Lal Shyam, Lal Shyam
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On Almost Bounded Functions [PDF]
Transactions of the American Mathematical Society, 1976 New results are presented with regard to the “almost bounded functions” introduced by Goodman [2], including a theorem which contains a proof of Goodman’s conjecture for a particular case.
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Fractal and Fractional, 2022 The main focus of this research is to solve certain coefficient-related problems for analytic functions that are subordinated to a unique trigonometric function.
Lei Shi +4 more
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On Bounded Analytic Functions [PDF]
Proceedings of the American Mathematical Society, 1950 The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [1] and Garabedian [2].1 While it is admitted that the main idea to be used is more in the nature of a lucky guess than of a method, it will be found that the gain in brevity and simplicity of the argument is ...
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Bounded Cosine Functions Close to Continuous Scalar Bounded Cosine Functions [PDF]
Integral Equations and Operator Theory, 2016 Let $(C(t))\_{t \in R}$ be a cosine function in a unital Banach algebra. We show that if $sup\_{t\in R}\Vert C(t)-cos(t)\Vert \textless{} 2$ for some continuous scalar bounded cosine function $(c(t))\_{t\in \R},$ then the closed subalgebra generated by $(C(t))\_{t\in R}$ is isomorphic to $\C^k$ for some positive integer $k.$ If, further, $sup\_{t\in \R}
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