Abstract: In this talk, we define the Zak transform and examine some of its properties. In particular, the Zak transform may be used to analyze Gabor systems. We will show how it may be used to determine whether a critical density Gabor system is complete, a frame, a Riesz basis, an orthonormal basis or a Bessel sequence.
Abstract: In this talk, we define the Zak transform and examine some of its properties. In particular, the Zak transform may be used to analyze Gabor systems. We will show how it may be used to determine whether a critical density Gabor system is complete, a frame, a Riesz basis, an orthonormal basis or a Bessel sequence.
Abstract: Stability of sorting based embeddings Abstract: Consider a finite group acting isometrically on a real inner product space. We show that sorting based embeddings, that are obtained by applying linear maps to invariant maps based on sorting coorbits, satisfy a bi-Lipschitz condition if and only if they separate orbits.
Abstract: Stability of sorting based embeddings Abstract: Consider a finite group acting isometrically on a real inner product space. We show that sorting based embeddings, that are obtained by applying linear maps to invariant maps based on sorting coorbits, satisfy a bi-Lipschitz condition if and only if they separate orbits.
Abstract: Consider a finite group acting isometrically on a real inner product space. We show that sorting based embeddings, that are obtained by applying linear maps to invariant maps based on sorting coorbits, satisfy a bi-Lipschitz condition if and only if they separate orbits.
Abstract: Consider a finite group acting isometrically on a real inner product space. We show that sorting based embeddings, that are obtained by applying linear maps to invariant maps based on sorting coorbits, satisfy a bi-Lipschitz condition if and only if they separate orbits.
Abstract: In this talk, we will show how a vector valued Zak transform may be used to analyze a rationally oversampled Gabor system (that is, ab is a rational number). The representation due to Zibulski and Zeevi using the Zak transform of the Gabor frame operator gives us a characterization of when it is bounded and invertible.
Abstract: In this talk, we continue analysis of vector valued Zak transform for rationally oversampled Gabor system (that is, ab is a rational number). The representation due to Zibulski and Zeevi using the Zak transform of the Gabor frame operator gives us a characterization of when it is bounded and invertible.
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