Fourier Characterizations and Non-triviality of Gelfand–Shilov Spaces, with Applications to Toeplitz Operators
نویسندگان
چکیده
Abstract We find growth estimates on functions and their Fourier transforms in the one-parameter Gelfand–Shilov spaces $$S_s$$ S s , $$S^\sigma $$ σ $$\Sigma _s$$ Σ ^\sigma . obtain characterizations for these duals terms of short-time transforms. determine conditions symbols Toeplitz operators under which are continuous spaces. Lastly, it is determined that _s^\sigma nontrivial if only $$s+\sigma > 1$$ + > 1
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2023
ISSN: ['1531-5851', '1069-5869']
DOI: https://doi.org/10.1007/s00041-023-10009-3