Abstract
Abstract Using a translation operator, we obtain a generalization of second Titchmarsh’s theorem for the ( k , n ) {(k,n)} -generalized Fourier transform for functions satisfying the ( p , k , n ) (p,k,n) -Lipschitz and ( ψ , k , n ) (\psi,k,n) -Lipschitz classes condition in the space L p ( d μ k , n ) {\mathrm{L}^{p}(d\mu_{k,n})} , where 1 ≤ p ≤ 2 {1\leq p\leq 2} .
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