Search
Search Results
-
Sufficient conditions for the weighted integrability of Jacobi–Dunkl transforms
In this paper, we obtain sufficient conditions for the weighted integrability of Jacobi–Dunkl transforms in terms of the moduli of smoothness...
-
Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space
By way of concrete presentations, we construct two infinite-dimensional transforms at the crossroads of Gaussian fields and reproducing kernel...
-
Solving PDEs with Fourier and Laplace Transforms
In Chaps. 77 and 79 , linear (ordinary) differential equations and initial...
-
Fourier–Bessel transforms from generalized Lipschitz spaces and weighted Lebesgue spaces
We prove a dual Boas type result connecting the behavior of a function and the smoothness of its Fourier–Bessel transform. We obtain sufficient...
-
Germ FBI Transforms
This chapter is devoted to a special class of the integral transforms introduced in Ch. 21, generalizing the FBI transformand designed for the...
-
Hilbert–Schimdt and Trace Class Pseudo-Differential Operators and Weyl Transforms on the Affine Group
We give necessary and sufficient conditions on the symbols for which the corresponding pseudo-differential operators on the affine group are...
-
Analysis of Natural Daftardar–Jafari Method for Fractional Delay Differential Equations
The decomposition methods such as Daftardar–Jafari method (DJM) have been applied previously to obtain a solution of the fractional differential...
-
Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries
The Segal–Bargmann transform is a Lie algebra and Hilbert space isomorphism between real and complex representations of the oscillator algebra. The...
-
Differential Equations
There are close similarities between the theories of linear difference equations and linear differential equations. Indeed, differential equations...
-
-
Dimension-free Lp-estimates for vectors of Riesz transforms in the rational Dunkl setting
In this article, we prove a dimension-free upper bound for the L p -norms of the vector of Riesz transforms in the rational Dunkl setting. Our main...
-
Weyl Transforms Associated with Dunkl Wavelet Transform
In this paper, we define the Weyl transform associated with Dunkl wavelet transform and discuss its boundedness and compactness on the Lebesgue...
-
Dynamics of Systems with Unilateral Differential Constraints
AbstractA dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that, in the general case,...
-
-
Differential-Difference Equations with Optimal Parameters
AbstractThe paper considers difference schemes with optimal parameters for solving Maxwell’s equations. Using Laguerre transforms, the numerical...
-
On q-Laplace Transforms
In this paper, we are concerned about q-Laplace transform which is expected to play a similar role in q-difference analysis as the Laplace transform...
-
Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III
AbstractWe consider the symmetries of partial differential equations based on the use of differential-geometric and algebraic methods of the theory...