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Showing 1 to 3 of 3 for “"Riesz bases"”.
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Frames In Hilbert C*-modules
… In contrast to the Hilbert space situation, Riesz bases of Hilbert C*-modules may possess infinitely many alternative duals due to the existence of zero-divisors and not every dual of a Riesz basis is again a Riesz basis. We will present several such examples showing that the duals of Riesz …
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The Nonexistence of Shearlet-Like Scaling Multifunctions that Satisfy Certain Minimally Desirable Properties and Characterizations of the Reproducing Properties of the Integer Lattice Translations of a Countable Collection of Square Integrable Functions
… reproducing systems—Bessel systems, frames, and Riesz bases—within the Hilbert space context and prove a number of elementary results, including qualitative characterizations of each and several results regarding the combination and partitioning of reproducing systems.</p> <p>In Chapter 2, we …
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Spectral theory using linear systems and sampling from the spectrum of Hill's equation
… for this case. From (tn)n∈Z we also construct Riesz bases for L2[0, π] and L2[−π, π], the Fourier transform space of PW(π). In L2[0, π] we construct the dual Riesz basis using linear systems. Furthermore, we show that the determinant of the Gram matrix associated with the Riesz basis is a …