Smooth solutions for the p-order functional equation f ( φ ( x ) ) = φ p ( f ( x ) )
نویسندگان
چکیده
منابع مشابه
|cj,k | p) 1/p: f = X
The affine synthesis operator Sc = P j>0 P k∈Z d c j,k ψ j,k is shown to map the coefficient space ℓ p (Z+ × Z d) surjectively onto L p (R d), for p ∈ (0, 1]. Here ψ j,k (x) = | det aj| 1/p ψ(ajx − k) for dilation matrices aj that expand , and the synthesizer ψ ∈ L p (R d) need satisfy only mild restrictions, for example ψ ∈ L 1 (R d) with nonzero integral or else with periodization that is rea...
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.08.34