1. Which of the following functions are in the Hilbert space with indicated interval? (a) f(x)...

Transcribed Image Text:

1. Which of the following functions are in the Hilbert space with indicated interval? (a) f(x) = e, -1 ≤ x ≤ 1 (b) f(x) = e,r 20 (c) f(x) = x-¹/4, 0≤x≤1 (d) f(x) = cos(x), T ≤ x ≤ T (e) f(x)=1/(1+ir), -∞ < x <∞ (f) f(x) = x-¹/², 0≤x≤1 -1/2 I 1. Which of the following functions are in the Hilbert space with indicated interval? (a) f(x) = e, -1 ≤ x ≤ 1 (b) f(x) = e,r 20 (c) f(x) = x-¹/4, 0≤x≤1 (d) f(x) = cos(x), T ≤ x ≤ T (e) f(x)=1/(1+ir), -∞ < x <∞ (f) f(x) = x-¹/², 0≤x≤1 -1/2 I

Answer rating: 100% (QA)

For a function fx to be in Hilbert space in an inte... View the full answer