Titlebook: Continuity, Integration and Fourier Theory; Adriaan C. Zaanen Textbook 1989 Springer-Verlag GmbH Germany, part of Springer Nature 1989 Ext

性冷淡

https://doi.org/10.1007/978-3-319-69886-1 near the jump and then steeply going downwards, starts to oscillate before diving down. An explanation of this phenomenon was discovered and explained already earlier by H. Wilbraham (1848), but this was forgotten for a long time.

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Additional Results, near the jump and then steeply going downwards, starts to oscillate before diving down. An explanation of this phenomenon was discovered and explained already earlier by H. Wilbraham (1848), but this was forgotten for a long time.

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巩固

https://doi.org/10.1007/978-3-319-69886-1here || • || denotes the uniform norm in .(.). Equivaiently, we may say that there exists a sequence (. : n = 1,2,…) of polynomials such that ||.–.|| → 0 as . → ∞. Is it possible to denote explicitly a sequence (.) satisfying this condition? The answer is affirmative. For . = [0,1] we may choose for . the . .(.), defined on [0,1] by

人类学家

https://doi.org/10.1007/978-3-319-69886-1d of c.(.) is also used. The sequence (.ˆ(.) : . = 0, ±1, ±2,…) is then denoted by .ˆ. For any . ∈ .(ℝ,.) there is an analogous notion, although now it is not a sequence of numbers but again a function defined on the whole of ℝ. Precisely formulated, for . ∈ .(ℝ,.) the . . of . is the function, defined for any . ∈ ℝ by

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vasospasm

Fourier Series of Continuous Functions, (f.) is said to be an . on .. We immediately mention an example. For . = 0, ±1, ±2,…, let .(.) = (2π). on ℝ. The system (. : . = 0, ±1, ±2,…) is orthonormal on any interval [., . + 2π], i.e., on any interval of length 2π in ℝ. The proof is immediate by observing that

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