Orthonormal sequences and time frequency localization related to the Riemann-Liouville operator
نویسندگان
چکیده
منابع مشابه
Orthonormal Sequences in L(r) and Time Frequency Localization
We prove that there does not exist an orthonormal basis {bn} for L(R) such that the sequences {μ(bn)}, {μ(c bn)}, and {∆(bn)∆( bn)} are bounded. A higher dimensional version of this result that involves generalized dispersions is also obtained. The main tool is a time-frequency localization inequality for orthonormal sequences in L(R). On the other hand, for d > 1 we construct a basis {bn} for ...
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where f, g are two differentiable functions and f ′, g′ ∈ L∞(a, b) and p is a positive and integrable function on [a, b]. Other interesting corollaries are also presented in [12]. Many researchers have given considerable attention to (1) and several inequalities related to this functional have appeared in the literature, to mention a few, see [1, 3, 8, 15, 16, 19, 20, 22] and the references cit...
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In his book [14], Wong studies the properties of pseudodifferential operators arising in quantummechanics, first envisaged byWeyl [13], as bounded linear operators on L2(Rn) (the space of square integrable functions on Rn with respect to the Lebesgue measure). For this reason, M. W. Wong calls the operators treated in his book Weyl transforms. Here, we consider the singular partial differential...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2019
ISSN: 1846-3886
DOI: 10.7153/oam-2019-13-03