To multidimensional Mellin analysis: Besov spaces, K-functor, approximations, frames

نویسندگان

چکیده

In the setting of multidimensional Mellin analysis we introduce moduli continuity and use them to define Besov–Mellin spaces. We prove that spaces are interpolation (in sense J.Peetre) between two Sobolev–Mellin also Bernstein-Mellin corresponding direct inverse approximation theorems. Hilbert case discuss Laplace–Mellin operator relevant Paley–Wiener–Mellin Also in describe terms frames.

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ژورنال

عنوان ژورنال: Sampling theory, signal processing, and data analysis

سال: 2023

ISSN: ['2730-5724', '1530-6429', '2730-5716']

DOI: https://doi.org/10.1007/s43670-022-00046-2