Fourier Analysis on the Sphere
نویسندگان
چکیده
منابع مشابه
Sampling Theorem and Discrete Fourier Transform on the Riemann Sphere ∗
Using coherent-state techniques, we prove a sampling theorem for Majorana's (holomor-phic) functions on the Riemann sphere and we provide an exact reconstruction formula as a convolution product of N samples and a given reconstruction kernel (a sinc-type function). We also discuss the effect of over-and under-sampling. Sample points are roots of unity, a fact which allows explicit inversion for...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1975
ISSN: 0002-9947
DOI: 10.2307/1997367