Related papers: A Short Course on Frame Theory
We discuss various problems in frame theory that have been open for some years. A short discussion of frame theory is also provided, but it only contains the information that is necessary in order to understand the open problems and their…
An introductory theory of frames on finite dimensional quaternion Hilbert spaces is demonstrated along the lines of their complex counterpart.
This is a short introduction to Hilbert space frame theory and its applications for those outside the area who want to enter the subject. We will emphasize finite frame theory since it is the easiest way to get into the subject.
Expanded lecture notes. Preliminary version, comments are welcome.
I present a brief theory overview of the CHARM-2015 conference.
In this paper a new concept related to the frame theory is introduced; the notion of pair frame. By investigating some properties of such frames, it is shown that pair frames are a generalization of ordinary frames. Some classes of of them…
This is an introductory article to the theory of multiple gaps.
In this chapter we survey two topics that have recently been investigated in frame theory. First, we give an overview of the class of scalable frames. These are (finite) frames with the property that each frame vector can be rescaled in…
Thye theory of frames for a Hilbert space plays a fundamental role in signal processing, image processing, data compression, sampling theory and much more, as well as being a fruitful area of research in abstract mathematics. In this…
This article is a very short introduction to pcf theory for topologists.
Brief lecture notes for a course about random matrices given at the University of Cambridge.
We give an elementary introduction to the theory of supermembranes.
We develop the theory of frames and Parseval frames for finite-dimensional vector spaces over the binary numbers. This includes characterizations which are similar to frames and Parseval frames for real or complex Hilbert spaces, and the…
A very short proof of Kneser's theorem via transversal is given.
In this short note we introduce and study a particular type of Schauder frames, namely, \Phi-Schauder frames.
This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
A program for categorifying measure theory is outlined.
In this note we briefly survey and propose some open problems related to isoparametric theory.
This is an introduction to some recent developments in string theory and M theory. We try to concentrate on the main physical aspects, and often leave more technical details to the original literature.
In this paper we discuss some topics related to the general theory of frames. In particular we focus our attention to the existence of different 'reconstruction formulas' for a given vector of a certain Hilbert space and to some refinement…