منابع مشابه
Rapidly Growing Fourier Integrals
1. THE RIEMANN–LEBESGUE LEMMA. In its usual form, the Riemann– Lebesgue Lemma reads as follows: If f ∈ L1 and f̂ (s) = ∫∞ −∞ eisx f (x) dx is its Fourier transform, then f̂ (s) exists and is finite for each s ∈ R and f̂ (s) → 0 as |s| → ∞ (s ∈ R). This result encompasses Fourier sine and cosine transforms as well as Fourier series coefficients for functions periodic on finite intervals. When the i...
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ژورنال
عنوان ژورنال: Optics Express
سال: 2019
ISSN: 1094-4087
DOI: 10.1364/oe.27.032263