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Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 2016Latest edition Springer International Publishing Switzerland 2016

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Die Technik der Blutgruppenuntersuchung,s superpositions of translated and modulated versions of a fixed function .. There are two ways one can think about this. The first is to ask for . involving all possible translations and modulations, i.e., representations like. here we have to search for a function .. of two variables making this t
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Zur allgemeinen Operationstechnik,tors in a finite-dimensional space. In this chapter, we show that it indeed is possible to construct Gabor-type frames in . for . based on certain Gabor frames for . As intermediate steps, we will construct frames for . based on sampling of the frame . as well as frames for the space . based on peri
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https://doi.org/10.1007/978-3-642-91351-8sues that appear in several places in the wavelet literature, and they can be read independently of each other. We begin in Section . with a discussion of irregular wavelet frames. Section . states a few results about oversampling of wavelet frames. We analyze the relationship between two wavelet sy
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Frames in Hilbert Spaces,cients ..(.) are unique. We now introduce the concept of .. A frame is also a sequence of elements . in ., which allows every . to be written as in ( .). However, the corresponding coefficients are not necessarily unique. Thus a frame might not be a basis; arguments for generalizing the basis concept were given in Chapter .
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Gabor Frames and Duality,tep and consider Gabor frames that are convenient to apply in practice. From the general frame theory in Chapter . and Chapter . we know that frames are particularly useful when the frame decomposition takes a simple form, which is the case if either the frame is tight or we have access to a convenient dual frame.
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Selected Topics on Gabor Frames,ntire book. Based on the core material in Chapters .–., we will now present selected topics and tools. All of them are of general importance, in the sense that they find applications within several areas of time–frequency analysis. The sections are to a large extent independent of each other.
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https://doi.org/10.1007/978-3-319-25613-9Frame Theory; Riesz Bases; Vector Spaces; Hilbert Spaces; Gabor Frames; Wavelets; LCA Groups; Generalized S
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978-3-319-79814-1Springer International Publishing Switzerland 2016
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