Index Transforms for N-dimensional DFT's.
Inequalities for Fourier transforms
Integrability Properties of Fourier-Stieltjes Coefficients.
Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for the time-space fractional diffusion equation expressed in terms of the Caputo time-fractional derivative and a generalized Riemann-Liouville space-fractional derivative.
Intégrales généralisées de Stieltjes et convergence des séries de Fourier
Interolation, Correlation Identities, and Inequalities for Infinitely Divisible Variables.
Introduction à l'étude des opérateurs Fourier intégraux : intégrale oscillante
Inverse Fourier transform
In this paper a very general method is given in order to reconstruct a periodic function knowing only an approximation of its Fourier coefficients.
Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets
Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators of the q-Riemann-Liouville and...