Results 1 to 10 of about 1,830 (180)

Certain Solutions of Abel’s Integral Equations on Distribution Spaces via Distributional Gα-Transform

Symmetry, 2022
Abel’s integral equation is an efficient singular integral equation that plays an important role in diverse fields of science. This paper aims to investigate Abel’s integral equation and its solution using Gα-transform, which is a symmetric relation between Laplace and Sumudu transforms.
Supaknaree Sattaso, Kamsing Nonlaopon, Hwajoon Kim, Shrideh K. Al-Omari   +3 more
openaire   +2 more sources

Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions [PDF]

Journal of Function Spaces, 2016
Using simple formulas for generalized conditional Wiener integrals on a function space which is an analogue of Wiener space, we evaluate two generalized analytic conditional Wiener integrals of a generalized cylinder function which is useful in Feynman integration theories and quantum mechanics.
openaire   +4 more sources

Numerical and Analytical Investigations of Hadamard Variable Order Fractional Differential Equations via Cumulative Distribution Functions

Fractal and Fractional
This paper investigates a class of Hadamard variable-order fractional differential equations in which the fractional order is determined by the cumulative distribution function (CDF) of a continuous random variable.
Mohammed Said Souid, Zoubida Bouazza, Souhila Sabit, Kanokwan Sitthithakerngkiet   +3 more
doaj   +1 more source

Banach spaces of functions and distributions characterized by singular integrals involving the Fourier transform

Journal of Functional Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Some classes of integral transforms on distribution spaces and generalized asymptotics

, 2014
In this doctoral dissertation several integral transforms are discussed.The first one is the Short time Fourier transform (STFT). We present continuity theorems for the STFT and its adjoint on the test function space K1(ℝn) and the topological tensor product K1(ℝn) ⊗ U(ℂn), where U(ℂn) is the space of entirerapidly decreasing functions in any ...
openaire   +1 more source

Translation invariant Banach spaces of distributions and boundary values of integral transform

, 2015
Koristimo oznaku ∗ za distribuciono (Svarcovo), (Mp) (Berlingovo) i {Mp} (Roumieuovo) okruženje. Uvodimo i prouavamo nove (ultra)distribucione prostore,  test funkcijske prostore D∗E i njihove duale D'∗E'*.  Ovi prostori uopštavaju  prostore D∗Lq , D'∗Lp , B'∗ i njihove težinske verzije.
openaire   +1 more source

On some spaces of functions and distributions (II). Integral transforms in $D_{M}$ and $D'_{M}$ [PDF]

Studia Mathematica, 1962
openaire   +1 more source

<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]

Math Ann
Loeffler D, Williams C.
europepmc   +1 more source

S3PM: Entropy-Regularized Path Planning for Autonomous Mobile Robots in Dense 3D Point Clouds of Unstructured Environments. [PDF]

Sensors (Basel)
Sazonov A, Kuchkin O, Cherepanska I, Lipnickas A.   +3 more
europepmc   +1 more source

An Approach to Fisher-Rao Metric for Infinite Dimensional Non-Parametric Information Geometry. [PDF]

Entropy (Basel)
Cheng B, Tong H.
europepmc   +1 more source