Physics · Signals and Systems
Which of the following statements regarding Laplace and Fourier transforms are correct? A. In order for a function to possess a Laplace transform, it must obey the condition: ∫ 0 - ∞ |f(t)|e -αt dt > ∞, α ∈ Re + B. In order for a function to possess a Laplace transform, it must obey the condition: ∫ 0 - ∞ |f(t)|e -αt dt < ∞, α ∈ Re + C. For a function to have a Fourier transform, it must obey the condition: ∫ -∞ ∞ |f(t)|dt < ∞ D. For a function to have a Fourier transform, it must obey the condition: ∫ -∞ ∞ |f(t)|e -αt dt < ∞ Choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A and C only
- 2B and C only✓
- 3B and D only
- 4A and D only
Correct answer
B and C only
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