New convolution related theorems and applications associated with offset linear canonical transform
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910926282686464 |
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| author | Mahato, Gita Rani Varghese, Sarga Kundu, Manab |
| author_facet | Mahato, Gita Rani Varghese, Sarga Kundu, Manab |
| contents | In this paper, we define new type of convolution and correlation theorems associated with the offset linear canonical transform (OLCT). Additionally, we discuss their applications in multiplicative filter design, which may prove useful in optics and signal processing for signal recovery. Furthermore, we explore the real Paley-Wiener (PW) and Boas theorems for the OLCT, analyzing signal characteristics for OLCT within the L2 domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01046 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New convolution related theorems and applications associated with offset linear canonical transform Mahato, Gita Rani Varghese, Sarga Kundu, Manab Functional Analysis Mathematical Physics Operator Algebras In this paper, we define new type of convolution and correlation theorems associated with the offset linear canonical transform (OLCT). Additionally, we discuss their applications in multiplicative filter design, which may prove useful in optics and signal processing for signal recovery. Furthermore, we explore the real Paley-Wiener (PW) and Boas theorems for the OLCT, analyzing signal characteristics for OLCT within the L2 domain. |
| title | New convolution related theorems and applications associated with offset linear canonical transform |
| topic | Functional Analysis Mathematical Physics Operator Algebras |
| url | https://arxiv.org/abs/2505.01046 |