Translation operator and maximal function for the (k,1)-generalized Fourier transform
Journal of Functional Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Saïd, Salem, Deleaval, Luc
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Pseudodifferential equations and a generalized translation operator in non-gaussian infinite-dimensional analysis [PDF]
Ukrainian Mathematical Journal, 1999 Summary: Pseudodifferential equations of the form \(v(D_{\chi})y=f,\) where \(v\) is a function holomorphic at zero and \(D_{\chi}\) is a pseudodifferential operator, are studied on spaces of test functions of non-Gaussian infinite-dimensional analysis. The results obtained are applied to construct a generalized translation operator \(T_{y}^{\chi}=\chi(
Качановский, Н.А.
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Spaces of Test and Generalized Functions Related to Generalized Translation Operators
Ukrainian Mathematical Journal, 2003The paper is devoted to a detailed and modernized exposition of an approach to the theory of generalized functions of an infinite number of variables based on the use of a family of generalized translation operators on a separable metric space \(Q\) [for earlier results, see \textit{Yu. M. Berezansky} and \textit{Yu. G. Kondratiev}, Funct. Anal.
Berezans'kyi, Yu. M., Tesko, V. A.
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Generalized translation operators associated with a singular differential operator
Lecture Notes in Mathematics, 1974B. L. J. Braaksma, H. S. V. de Snoo
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On the norms of generalized translation operators generated by the jacobi-dunkl operators
Journal of Mathematical Sciences, 2012O L Vinogradov
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A Generalized Translation Operator Generated by the Sinc Function on an Interval
Proceedings of the Steklov Institute of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arestov, V. V., Deikalova, M. V.
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A generic operational strategy to qualify translational safety biomarkers
Drug Discovery Today, 2011The importance of using translational safety biomarkers that can predict, detect and monitor drug-induced toxicity during human trials is becoming increasingly recognized. However, suitable processes to qualify biomarkers in clinical studies have not yet been established.
Matheis +24 more
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Generation of floating point 2D translation operators for FPGA
2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics, 2015This paper presents an FPGA implementation of a matrix operator for geometric two dimensional translation. The generated architecture takes advantage of the particular form of the translation matrix, ignoring the null elements. We have generated architectures for floating point operators of half, simple, double precision.
Ovidiu Sicoe +2 more
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On the norms of generalized translation operators generated by Dunkl type operators
Journal of Mathematical Sciences, 2012An integral representation for the generalized translation operators generated by Dunkl type operators \[ \Lambda f(x) = f'(x) + \frac{A'(x)}{A(x)}\frac{f(x) - f( - x)}{2} \] in the spaces \( L_p(\mathbb{R})\) with weight \(A\) is established, and a known estimate for their norms is improved.
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