It is known that the fractional integral operator Iα based on a symmetric Markovian semigroup with Varopoulos dimension d is bounded from Lp to Lq, if 0 < α < d, 1 < p < q < ∞ and −d/p + α = −d/q, ...
Integral transformations are developed for the Stokes Beltrami equations from essentially one identity known for axially symmetric harmonics and stream functions in several space dimensions. It is ...
Abstract: Implementation of max-ortho basis functions is proposed in a method for analysis of axially symmetric metallic antennas based on exact kernel of electric field integral equation in ...
ABSTRACT: The main result of this paper is presented as follows Let h is homogeneous and symmetric of degree and Then where provided the integrals on the RHS do exists. Some other special cases are ...
Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...
Abstract: We construct an explicit Hopf algebra isomorphism from the algebra of heap-ordered trees to that of quasi-symmetric functions, generated by formal permutations, which is a lift of the ...
Superintegrable systems constitute a fascinating field of study within quantum mechanics, distinguished by the presence of more independent integrals of motion than degrees of freedom. This additional ...
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