Global And Local Saturated Theorems In Some Spaces Of Temperate Functions
Global and local saturation theorems in some spaces of temperate functions.
Green function and Fourier transform for o-plus operators.
Hamilton’s Principle with Variable Order Fractional Derivatives
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation....
Hankel complementary integral transformations of arbitrary order.
Hankel convolution on distribution spaces with exponential growth
We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.
Hankel integral transforms of a new space of generalized functions of slow growth
Hankel transform on Lorentz spaces
Hankel transforms in generalized Fock spaces.
Heaviside's theory of signal transmission on submarine cables
As written in L. Schwartz' book, Heaviside's theory of cables is an important source of the theory of generalized functions. The partial differential equations he discussed were the usual heat equation and the simplest hyperbolic equations of one space dimension, but he had to solve them as evolution equations in the unusual direction of the distance along which the electric signals propagate. Although he obtained explicit expressions of solutions, which were of great economical values, it has not...
Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.* The authors are supported by the DGRST research project 04/UR/15-02.
Hilbert transform and singular integrals on the spaces of tempered ultradistributions
The Hilbert transform on the spaces of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a certain elliptic ultrapolynomial. We show that the Hilbert transform of tempered ultradistributions defined in this way preserves important properties of the classical Hilbert transform. We also give definitions and prove properties of singular integral operators...
Hilbert transformation of Beurling ultradistributions
Homogenous distributions on spaces of Hermitean matrices.
Initial value Abelian theorems for the distributional Stieltjes transform
Iterated Stieltjes transform of generalized functions.
Kvaziasimptotičeskoe razloženie meri (Quasiasymptotic decomposition of measures).
estimates for the Cauchy transforms of distributions with respect to convex cones
La transformación de Hankel-clifford en ciertos espacios de distribuciones
Laplace -transform of distributions