3. Let {ent}neZ be the sequence of trigonometric polynomials, as vectors in the normed linear space C(0, 27), with the inner product 2T dax f (x)g(x) 27T (f,g) m, we have eint T eimt, that is (a) Prove Fact I: For n (eint, eimt) 0
3. Let {ent}neZ be the sequence of trigonometric polynomials, as vectors in the normed linear space C(0, 27), with the inner product 2T dax f (x)g(x) 27T (f,g) m, we have eint T eimt, that is (a) Prove Fact I: For n (eint, eimt) 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Let {ent}neZ be the sequence of trigonometric polynomials, as vectors in the normed linear space
C(0, 27), with the inner product
2T
dax
f (x)g(x)
27T
(f,g)
m, we have eint T eimt, that is
(a) Prove Fact I: For n
(eint, eimt) 0
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