Results 21 to 30 of about 6,332 (238)

GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM [PDF]

International Journal of Mathematical Modelling & Computations, 2016
In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
S. El ouadih, R. Daher, M. El hamma
doaj  

Bessel Transform of -Bessel Lipschitz Functions

Journal of Mathematics, 2013
Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
doaj   +1 more source

Generalized frame operator, lower semiframes, and sequences of translates

Mathematische Nachrichten, 2023
AbstractGiven an arbitrary sequence of elements of a Hilbert space , the operator is defined as the operator associated to the sesquilinear form , for . This operator is in general different from the classical frame operator but possesses some remarkable properties. For instance, is always self‐adjoint with regard to a particular space, unconditionally
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$(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$

Karpatsʹkì Matematičnì Publìkacìï, 2014
Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
M. El Hamma, H. Lahlali, R. Daher
doaj   +1 more source

Some Relationships for the Generalized Integral Transform on Function Space

Mathematics, 2020
In this paper, we recall a more generalized integral transform, a generalized convolution product and a generalized first variation on function space. The Gaussian process and the bounded linear operators on function space are used to define them.
Hyun Soo Chung
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Three-Way Decisions Based on Q-Rung Orthopair Fuzzy 2-Tuple Linguistic Sets with Generalized Maclaurin Symmetric Mean Operators

Mathematics, 2021
As a typical model of three-way decisions (3WD), decision-theoretic rough sets (DTRS), have gained attention from scholars in decision-making problems.
Miin-Shen Yang, Zeeshan Ali, Tahir Mahmood   +2 more
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A generic operational strategy to qualify translational safety biomarkers

Drug Discovery Today, 2011
The 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, Katja; Laurie, David; Andriamandroso, Christiane; Arber, Nadir; Badimon, Lina; Benain, Xavier; Bendjama, Kaidre; Clavier, Isabelle; Colman, Peter; Firat, Hueseyin; Goepfert, Jens; Hall, Steve; Joos, Thomas; Kraus, Sarah; Kretschmer, Axel; Merz, Michael; Padro, Teresa; Planatscher, Hannes; Rossi, Annamaria; Schneiderhan-Marra, Nicole; Schuppe-Koistinen, Ina; Thomann, Peter; Vidal, Jean-Marc; Molac, Beatrice   +24 more
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JACOBI TRANSFORM OF \((\nu, \gamma, p)\)-JACOBI–LIPSCHITZ FUNCTIONS IN THE SPACE \(\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)\)

Ural Mathematical Journal, 2019
Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M.S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the \((\nu, \gamma, p)\)
Mohamed El Hamma, Hamad Sidi Lafdal, Nisrine Djellab, Chaimaa Khalil   +3 more
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Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
In this paper, using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [6] for the Helgason Fourier transform of a set of functions satisfying the Dini Lipschitz condition in the space L2 for functions on noncompact rank ...
Ouadih Salah El, Daher Radouan
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Harmonic Analysis Associated with the Generalized q-Bessel Operator

International Journal of Analysis and Applications, 2016
In this article, we give a new harmonic analysis associated with the generalized q-Bessel operator. We introduce the generalized $q$-Bessel transform, the generalized q-Bessel translation and the generalized $q$-Bessel convolution product.
Ahmed Abouelaz, Radouan Daher, El Mehdi Loualid   +2 more
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