Uncertainty principle for the Riemann-Liouville operator
نویسندگان
چکیده
منابع مشابه
Uncertainty Principle in Terms of Entropy for the Riemann-liouville Operator
We prove Hausdorff-Young inequality for the Fourier transform connected with Riemann-Liouville operator. We use this inequality to establish the uncertainty principle in terms of entropy. Next, we show that we can derive the Heisenberg-Pauli-Weyl inequality for the precedent Fourier transform.
متن کاملWeyl transforms associated with the Riemann-Liouville operator
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...
متن کاملThe Riemann-Liouville Operator to Generate Some New Inequalities
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...
متن کاملIntegral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
متن کاملOn Generalization of Sturm-Liouville Theory for Fractional Bessel Operator
In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...
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: Cubo (Temuco)
سال: 2011
ISSN: 0719-0646
DOI: 10.4067/s0719-06462011000300006