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- MARTIN S. COPENHAVER, YEON HYANG KIM, +4 authors JONATHAN SHEPERD
- 2014

We consider frames in a finite-dimensional Hilbert space H n where frames are exactly the spanning sets of the vector space. The diagram vector of a vector in R 2 was previously defined using polar coordinates and was used to characterize tight frames in R 2 in a geometric fashion. Reformulating the definition of a diagram vector in R 2 we provide a natural… (More)

- Yeon Hyang Kim, Amos Ron
- 2006

In this paper, we characterize the space of almost periodic (AP) functions in one variable using either a Weyl-Heisenberg (WH) system or an affine system. Our observation is that the sought-for characterization of the AP space is valid if and only if the given WH (respectively, affine) system is an L 2 (IR)-frame. Moreover, the frame bounds of the system… (More)

- Amos Ron, Amnon Jakimovski, +4 authors Yeon Hyang Kim
- 2013

Title of Doctoral Dissertation " Exponential box splines and other types of non-polynomial B-splines " .

- Rachel Domagalski, Yeon Hyang Kim, Sivaram K. Narayan
- 2015 International Conference on Sampling Theory…
- 2015

A tight frame in R<sup>n</sup> is a redundant system which has a reconstruction formula similar to that of an orthonormal basis. For a unit-norm frame F = {f<sub>i</sub>}<sup>k</sup><sub>i=1</sub>, a scaling is a vector c = (c(l),..., c(k)) ε R<sup>k</sup>≥0 such that {c(i)f<sub>i</sub>}<sup>k</sup><sub>i=1</sub> is a tight frame in… (More)

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