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Anisotropic viscoelastic body subjected to the pulsating load
Constitutive equations of continuum mechanics of the solid phase of anisotropic material is focused in the paper. First, a synoptic one-dimensional...
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The Fourier transform in Lebesgue spaces
For each f ∈ L p (ℝ) (1 ⩽ p < ∞) it is shown that the Fourier transform is the distributional derivative of a Hölder continuous function. For each p , a...
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A Necessary Condition for HK-Integrability of the Fourier Sine Transform Function
The paper is concerned with integrability of the Fourier sine transform function when f ∈ BV 0 (ℝ), where BV 0 (ℝ) is the space of bounded variation...
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Lebesgue points and Cesàro summability of higher dimensional Fourier series over a cone
We introduce a new concept of Lebesgue points, the so-called w -Lebesgue points, where w > 0. As a generalization of the classical Lebesgue’s theorem,...
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The Hilbert Transform for Dunkl Differential Operators Associated to the Reflection Group ℤ2
The aim of this paper is to introduce the Dunkl—Hilbert transform H k , with k ≥ 0, induced by the Dunkl differential operator and associated with the...
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Exact analysis of the orientation-adjusted adhesive full stick contact of layered structures with the asymmetric bipolar coordinates
The adhesion failure has become one dominant factor in determining the reliability and service life of miniaturized devices subject to loadings with...
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Implementation of Fractional Optimal Control Problems in Real-World Applications
In this article, we aim to analyze a mathematical model of tumor growth as a problem of fractional optimal control. The considered fractional-order...
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Short time coupled fractional fourier transform and the uncertainty principle
In this paper, we introduce a short-time coupled fractional Fourier transform ( scfrft ) using the kernel of the coupled fractional Fourier transform ( cfrft...
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On an extrapolation problem for characteristic functions
Let f be the characteristic function of a probability measure μ f on ℝ n , and let σ > 0. We study the following extrapolation problem: under what...
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Estimate of the Fourier-Bessel Multipliers for the Poly-axially Operator
We prove the analogue of Hormander-Mikhlin multiplier theorem for the multidimensional Fourier-Bessel transform associated with the Poly-axially...
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Representing Systems of Exponents in Weight Subspaces H (D)
In this paper, weight subspaces of the space of analytic functions on a bounded convex domain of the complex plane are considered. Descriptions of...
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“Fuzzy” Calculus: The Link Between Quantum Mechanics and Discrete Fractional Operators
In this paper, based on the “fuzzy” calculus covering the continuous range of operations between two couples of arithmetic operations (+,–) and...
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Self-Similar Cauchy Problems and Generalized Mittag-Leffler Functions
By observing that the fractional Caputo derivative of order α ∈ (0, 1) can be expressed in terms of a multiplicative convolution operator, we...
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An extension of the Bessel–Wright transform in the class of Boehmians
In this paper, we first construct a suitable Boehmian space on which the Bessel–Wright transform can be defined and some desired properties are...
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On Riesz Derivative
This paper focuses on studying Riesz derivative. An interesting investigation on properties of Riesz derivative in one dimension indicates that it is...
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Spectra of rational orthonormal systems
We use the Weyl correspondence approach to investigate the spectral operators of the Laguerre and the Kautz systems. We show that the basic functions...