19. Trigonometric Approximation and Fourier Series Flashcards

1
Q

Definition
Space of all trigonometric functions

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2
Q

space of 2\pi-periodic trigonometric functions.

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3
Q

Linearly independent and orthogonal basis of C^{2\pi}.

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4
Q

Complex form of Fourier series

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5
Q

Theorem 19.1 (Weierstrass’ Second Theorem)

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6
Q

Fourier Series

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7
Q

Theorem 19.2
Bound on complex Fourier approximation

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