Suppose and its Fourier transform also belongs to. Which of the following need NOT hold?

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/12A7E4C9-F7EB-4C75-8D54-50028A404713.png' height='22' width='84'/> and its Fourier transform<br><img src='https://www.fatskills.com/images2/GradExams/02A2E72B-F2D6-4F41-9AD5-8370FC0F5AFF.png' height='24' width='11'/> also belongs to<br><img src='https://www.fatskills.com/images2/GradExams/28A0D74A-0AC7-4623-9A2D-609C29F2EEAC.png' height='22' width='49'/>. Which of the following need NOT hold?