Algebraic results on rngs of singular functions.

Autor: Fernandez, Arran, Saadetoğlu, Müge
Předmět:
Zdroj: Forum Mathematicum; Nov2024, Vol. 36 Issue 6, p1645-1657, 13p
Abstrakt: We consider a Mikusiński-type convolution algebra C α , including functions with power-type singularities at the origin as well as all functions continuous on [ 0 , ∞) . Algebraic properties of this space are derived, including its ideal structure, filtered and graded structure, and Jacobson radical. Applications to operators of fractional calculus and the associated integro-differential equations are discussed. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index