منابع مشابه
AN LP-LQ-VERSION OF MORGAN’S THEOREM FOR THE GENERALIZED BESSEL TRANSFORM
n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.
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 کاملan lp-lq-version of morgan’s theorem for the generalized bessel transform
n this article, we prove an lp-lq-version of morgan’s theorem for the generalized bessel transform.
متن کاملAn Lp-Lq version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups
We consider a real semisimple Lie group G with finite center and K a maximal compact subgroup of G. We prove an Lp −Lq version of Hardy’s theorem for the spherical Fourier transform on G. More precisely, let a, b be positive real numbers, 1 ≤ p, q ≤ ∞, and f a K-bi-invariant measurable function on G such that h−1 a f ∈ Lp(G) and eb‖λ‖ (f )∈ Lq(a∗ +) (ha is the heat kernel on G). We establish th...
متن کاملAn Lp-Lq-Version of Morgan's Theorem for the n-Dimensional Euclidean Motion Group
An aspect of uncertainty principle in real classical analysis asserts that a function f and its Fourier transform ̂ f cannot decrease simultaneously very rapidly at infinity. As illustrations of this, one has Hardy’s theorem [1], Morgan’s theorem [2], and BeurlingHörmander’s theorem [3–5]. These theorems have been generalized to many other situations; see, for example, [6–10]. In 1983, Cowling a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1186