3 papers
math.FA2025
Convolution and product in finitely generated shift-invariant spaces
Aleksandar Aksentijević, Suzana Aleksić, Stevan Pilipović
We discuss some structural properties of finitely generated shift-invariant (FGSI) spaces and subspaces of Sobolev spaces, particularly those related to convolution and the product…
math.FA2024
Shift-invariant subspaces of Sobolev type
Aleksandar Aksentijević, Suzana Aleksić
This paper has the characteristics of a review paper in which results of shift-invariant subspaces of Sobolev type are summarized without proofs. The structure of shift-invariant s…
math.FA2024
On the product of periodic distributions. Product in shift-invariant spaces
Aleksandar Aksentijević, Suzana Aleksić, Stevan Pilipović
We connect through the Fourier transform shift-invariant Sobolev type spaces , and the spaces of periodic distributions and analyze the properties…