標(biāo)題: Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 2016Latest edition Springer International Publishing Switzerland 2016 [打印本頁] 作者: 監(jiān)督 時間: 2025-3-21 16:46
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書目名稱An Introduction to Frames and Riesz Bases讀者反饋學(xué)科排名
作者: 無脊椎 時間: 2025-3-21 22:31 作者: 草率男 時間: 2025-3-22 04:20
Selected Topics in Frame Theory,es” are needed. Section?. deals with the so-called R-dual . of a sequence . in a Hilbert space, originally introduced by Casazza, Kutyniok, and Lammers. The R-dual provides a way of checking that . is a frame, by checking the (conceptually more accessible) condition that . forms a Riesz sequence. Th作者: 否認(rèn) 時間: 2025-3-22 06:12 作者: 尊敬 時間: 2025-3-22 12:24
: Obama, die Krise und der Sozialismus-Framealled moment problems in Hilbert spaces. In Sections .–., we discuss the Hilbert space . consisting of the square integrable functions on . and three classes of operators hereon, as well as the Fourier transform. The material in those sections is not needed for the study of frames and bases on abstr作者: 分發(fā) 時間: 2025-3-22 16:31 作者: 外向者 時間: 2025-3-22 17:10
https://doi.org/10.1007/978-3-662-28889-4es” are needed. Section?. deals with the so-called R-dual . of a sequence . in a Hilbert space, originally introduced by Casazza, Kutyniok, and Lammers. The R-dual provides a way of checking that . is a frame, by checking the (conceptually more accessible) condition that . forms a Riesz sequence. Th作者: visceral-fat 時間: 2025-3-23 00:28 作者: Cleave 時間: 2025-3-23 04:38
An Introduction to Frames and Riesz Bases978-3-319-25613-9Series ISSN 2296-5009 Series E-ISSN 2296-5017 作者: 水槽 時間: 2025-3-23 08:34 作者: 出汗 時間: 2025-3-23 11:39 作者: CEDE 時間: 2025-3-23 16:21 作者: 北極熊 時間: 2025-3-23 18:27
: Obama, die Krise und der Sozialismus-Frame “elementary building blocks” and hereby helps us by reducing many questions concerning general vectors to similar questions concerning only the basis elements. However, the conditions to a basis are very restrictive – no linear dependence between the elements is possible, and sometimes we even want作者: 難聽的聲音 時間: 2025-3-24 01:03 作者: Charlatan 時間: 2025-3-24 04:26
https://doi.org/10.1007/978-3-658-19424-6ame in both cases, namely, to consider a family of elements such that all vectors in the considered space can be expressed in a unique way as superpositions of these elements. In the infinite-dimensional case, the situation is complicated: we are forced to work with infinite series, and different co作者: Carcinogenesis 時間: 2025-3-24 09:10 作者: hieroglyphic 時間: 2025-3-24 11:16
https://doi.org/10.1007/978-3-658-19424-6frame operator. In practice, it is difficult to apply the general frame decomposition, due to the fact that we need to invert the frame operator. We have mentioned two ways to circumvent the problem. The first one is to restrict our attention to tight frames: as we have seen in Corollary?., for a ti作者: Asperity 時間: 2025-3-24 15:21 作者: 哀悼 時間: 2025-3-24 22:58
https://doi.org/10.1007/978-3-662-28889-4ns of frame theory, but the purpose of this chapter is to give short presentations of certain topics that appear repeatedly in the literature. Section?. deals with the theory for g-frames as developed by Sun; it “l(fā)ifts” frame theory from a condition dealing with vectors in a Hilbert space to a condi作者: Flagging 時間: 2025-3-25 02:54
https://doi.org/10.1007/978-3-642-92208-4anslates of a given countable family of functions rather than just one function. Such systems of functions are called shift-invariant systems. Our goal is to characterize various frame properties for shift-invariant systems, a subject that was treated first in the paper [.] by Ron and Shen. The pres作者: Omniscient 時間: 2025-3-25 03:35
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作者: 小蟲 時間: 2025-3-25 10:31 作者: Rheumatologist 時間: 2025-3-25 12:51 作者: Debate 時間: 2025-3-25 17:47
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作者: mortuary 時間: 2025-3-25 21:53
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作者: 逢迎白雪 時間: 2025-3-26 01:08
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 .作者: 草本植物 時間: 2025-3-26 06:39
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.作者: Hyaluronic-Acid 時間: 2025-3-26 12:05
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.作者: 不如樂死去 時間: 2025-3-26 14:42
https://doi.org/10.1007/978-3-319-25613-9Frame Theory; Riesz Bases; Vector Spaces; Hilbert Spaces; Gabor Frames; Wavelets; LCA Groups; Generalized S作者: 知識 時間: 2025-3-26 20:40
978-3-319-79814-1Springer International Publishing Switzerland 2016作者: Arthropathy 時間: 2025-3-26 23:58 作者: 減去 時間: 2025-3-27 04:43 作者: 詞匯表 時間: 2025-3-27 08:08 作者: COKE 時間: 2025-3-27 12:16
Die Technik der Blutgruppenuntersuchung,The previous chapters have concentrated on general frame theory. We have only seen a few concrete frames, and most of them were constructed via manipulations on an orthonormal basis for an arbitrary separable Hilbert space. An advantage of this approach is that we obtain universal constructions, valid in all Hilbert spaces.作者: 興奮過度 時間: 2025-3-27 14:31
https://doi.org/10.1007/978-3-642-80492-2A fundamental question in wavelet analysis is what conditions we have to impose on a function . such that a given signal . can be expanded via translated and scaled versions of ., i.e., via functions作者: 巨頭 時間: 2025-3-27 18:24
,Technik und Ph?nomenologie der Hypnose,In this chapter we consider .,i.e., wavelet systems for . with scaling parameter .?=?2 and translation parameter .?=?1.?We will usually denote the resulting wavelet systems . by . or . Recall that bases of this type were considered already in Section?.作者: FLASK 時間: 2025-3-28 01:05
Schwachsinnig oder schwer erziehbar?,The introduction of multiresolution analysis by Mallat and Meyer was the beginning of a new era; the short descriptions in Section?. and Section?. only give a glimpse of the research activity based on this new tool, aiming at construction of orthonormal bases .作者: 魯莽 時間: 2025-3-28 04:43
Die Technik der IndividualpsychologieFrame multiresolution analysis is just one way to construct wavelet frames via multiscale techniques. We already mentioned in Section?. that the conditions can be weakened further, and the purpose of this chapter is to show how one can still construct frames.作者: 北極人 時間: 2025-3-28 08:41
Bases and Their Limitations,The next chapters will deal with generalizations of the basis concept, so it is natural to ask why they are needed. Bases exist in all separable Hilbert spaces and in practically all Banach spaces of interest, so why do we have to search for generalizations?作者: 知識分子 時間: 2025-3-28 12:48 作者: Minuet 時間: 2025-3-28 17:58 作者: Incompetent 時間: 2025-3-28 19:29 作者: 發(fā)現(xiàn) 時間: 2025-3-29 00:49 作者: 無法破譯 時間: 2025-3-29 04:43
Wavelet Frames via Extension Principles,Frame multiresolution analysis is just one way to construct wavelet frames via multiscale techniques. We already mentioned in Section?. that the conditions can be weakened further, and the purpose of this chapter is to show how one can still construct frames.作者: anthesis 時間: 2025-3-29 09:09 作者: 單挑 時間: 2025-3-29 13:14 作者: Condescending 時間: 2025-3-29 18:38
Die Konstruktion einer Ideologiemplete basis.” It turns out that, in the technical sense, one has to be careful with such statements. In fact, we will prove the existence of a frame which has no relation to a basis: no subfamily of the frame forms a basis. On the other hand, sufficient conditions for a frame to contain a Riesz basis as a subfamily are also given.作者: 圓木可阻礙 時間: 2025-3-29 22:32 作者: 食物 時間: 2025-3-30 02:52 作者: Foolproof 時間: 2025-3-30 05:43 作者: 整潔 時間: 2025-3-30 10:22 作者: NORM 時間: 2025-3-30 14:38 作者: erythema 時間: 2025-3-30 19:59 作者: 鉆孔 時間: 2025-3-30 21:03
: Obama, die Krise und der Sozialismus-Frame the elements to be orthogonal with respect to an inner product. This makes it hard or even impossible to find bases satisfying extra conditions, and this is the reason that one might look for a more flexible tool.作者: 節(jié)約 時間: 2025-3-31 04:29 作者: 失眠癥 時間: 2025-3-31 07:54
Textbook 2016Latest editionhin Gabor analysis, wavelet analysis, and generalized shift-invariant systems. ?Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. ?Based on the exiting development of frame theory over the last decade, this second edition now includes new sec作者: 抗生素 時間: 2025-3-31 13:14 作者: thrombosis 時間: 2025-3-31 15:17 作者: 無力更進(jìn) 時間: 2025-3-31 18:49
Frames in Finite-Dimensional Inner Product Spaces, the elements to be orthogonal with respect to an inner product. This makes it hard or even impossible to find bases satisfying extra conditions, and this is the reason that one might look for a more flexible tool.作者: 處理 時間: 2025-4-1 00:58
Gabor Frames in ,,rue. Note that we also have to specify in which sense we want (11.1) to be valid, i.e., how the integral shall be interpreted. The second approach is to restrict the translation and modulation parameters to a discrete subset . and ask for series representations of . in terms of the functions 作者: 前兆 時間: 2025-4-1 04:27
Frames in Finite-Dimensional Inner Product Spaces, “elementary building blocks” and hereby helps us by reducing many questions concerning general vectors to similar questions concerning only the basis elements. However, the conditions to a basis are very restrictive – no linear dependence between the elements is possible, and sometimes we even want作者: 單片眼鏡 時間: 2025-4-1 07:44
Infinite-Dimensional Vector Spaces and Sequences,nal vector spaces. Here great care is needed: we need to replace finite sequences . by infinite sequences ., and suddenly the question of convergence properties becomes a central issue. The vector space itself might also cause problems, e.g., in the sense that Cauchy sequences might not be convergen
