[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170440

DISTRIBUTIONAL FRACTIONAL POWERS OF SIMILAR OPERATORS WITH APPLICATIONS TO THE BESSEL OPERATORS

Molina, Sandra Monica (Departamento de Matematica-Facultad de Ciencias Exactas y Naturales-Universidad Nacional de Mar del Plata)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.4, 2018 , pp. 1249-1269 More about this Journal

Abstract

This paper provides a method to study the nonnegativity of certain linear operators, from other operators with similar spectral properties. If these new operators are formally self-adjoint and nonnegative, we can study the complex powers using an appropriate locally convex space. In this case, the initial operator also will be nonnegative and we will be able to study its powers. In particular, we have applied this method to Bessel-type operators.

Keywords

fractional Bessel operator; distributional operators; Hankel transform;

Citations & Related Records

Reference

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