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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.00197 |
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| _version_ | 1866908344341495808 |
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| author | Aksentijević, Aleksandar Aleksić, Suzana Pilipović, Stevan |
| author_facet | Aksentijević, Aleksandar Aleksić, Suzana Pilipović, Stevan |
| contents | 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 within these spaces. We find shift-invariant solutions in FGSI spaces for a class of differential-difference equations with constant coefficients. Additionally, we analyze the Fourier multipliers in FGSI spaces and the wave fronts for the convolution and product in FGSI spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00197 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convolution and product in finitely generated shift-invariant spaces Aksentijević, Aleksandar Aleksić, Suzana Pilipović, Stevan Functional Analysis 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 within these spaces. We find shift-invariant solutions in FGSI spaces for a class of differential-difference equations with constant coefficients. Additionally, we analyze the Fourier multipliers in FGSI spaces and the wave fronts for the convolution and product in FGSI spaces. |
| title | Convolution and product in finitely generated shift-invariant spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.00197 |