Abstract
The aim of this paper is establish the Heisenberg-Pauli-Weyl uncertainty principle and Donho-Stark's uncertainty principle for the Weinstein $L^2$-multiplier operators.
Highlights
The Weinstein operator ∆dW,α defined on Rd++1 = Rd × (0, ∞), by
In the present paper we are interested in proving an analogue of Heisenberg-Pauli-Weyl uncertainty principle For the operators Tw,m,σ
Using the techniques of Donoho and Stark [5], we show uncertainty principle of concentration type for the L2 theory
Summary
Weinstein operator; L2-multiplier operators; Heisenberg-Pauli-Weyl uncertainty principle; Donho-. The Weinstein L2-multiplier operators is defined for smooth functions φ on Rd++1, in [14] as. In this work we are interested the L2 uncertainty principles for the Weinstein multiplier operators. The uncertainty principles play an important role in harmonic analysis. These principles state that a function φ and its Fourier transform F(φ) cannot be simultaneously sharply localized. In the present paper we are interested in proving an analogue of Heisenberg-Pauli-Weyl uncertainty principle For the operators Tw,m,σ. The last section of this paper is devoted to Donoho-Stark’s uncertainty principle for the Weinstein L2-
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