A noncompletely continuous operator on $L\sb{1}(G)$ whose random Fourier transform is in $c\sb{0}(\hat G)$
نویسندگان
چکیده
منابع مشابه
A Note on Operator Sampling and Fractional Fourier Transform
Sampling theory for operators motivated by the operator identification problem in communications engineering has been developed during the last few years 1–4 . In 4 , Hong and Pfander gave an operator version of Kramer’s Lemma see 4, Theorem 25 . But they did not give any explicit kernel satisfying the hypotheses in 4, Theorem 25 other than the Fourier kernel. In this paper, we present that the...
متن کاملOn submanifolds whose shape operator is unipotent
The object of this article is to characterize submanifolds M ⊂ R of the Euclidean space whose shape operator A satisfies the equation (A) = k‖ξ‖Id, where k > 0 is constant. Mathematics Subject Classification(2000): 53C42, 53B25
متن کاملRandom Fourier Features For Operator-Valued Kernels
Devoted to multi-task learning and structured output learning, operator-valued kernels provide a flexible tool to build vector-valued functions in the context of Reproducing Kernel Hilbert Spaces. To scale up these methods, we extend the celebrated Random Fourier Feature methodology to get an approximation of operatorvalued kernels. We propose a general principle for Operator-valued Random Four...
متن کاملMultidimensional Random Sampling for Fourier Transform Estimation
......................................................................................................................... I Acknowledgments .......................................................................................................... II Author Declaration ........................................................................................................ IV Associated Publicati...
متن کاملAn Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1984-0754709-1