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Suppose and denote its Fourier transform by. Which of the following statements are true? I. is continuous on. II. is bounded on. III..

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MCQs on Partial Differential Equations.


Suppose<br><img src='https://www.fatskills.com/images2/GradExams/B00CD95F-BFD7-4C34-BD5F-A494A5B021A8.png' height='22' width='141'/> and denote its Fourier transform by<br><img src='https://www.fatskills.com/images2/GradExams/02A2E72B-F2D6-4F41-9AD5-8370FC0F5AFF.png' height='24' width='11'/>. Which of the following statements are true?<br/> I.<br><img src='https://www.fatskills.com/images2/GradExams/02A2E72B-F2D6-4F41-9AD5-8370FC0F5AFF.png' height='24' width='11'/> is continuous on<br><img src='https://www.fatskills.com/images2/GradExams/610DF5CE-623A-491E-AE7A-CF9808327AB7.png' height='14' width='14'/>.<br/> II.<br><img src='https://www.fatskills.com/images2/GradExams/02A2E72B-F2D6-4F41-9AD5-8370FC0F5AFF.png' height='24' width='11'/> is bounded on<br><img src='https://www.fatskills.com/images2/GradExams/610DF5CE-623A-491E-AE7A-CF9808327AB7.png' height='14' width='14'/>.<br/> III.<br><img src='https://www.fatskills.com/images2/GradExams/86998AF2-936E-47B1-90ED-D28088897287.png' height='25' width='163'/>.






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