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877
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
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Cited by 558 (0 self)
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Neumann used the same name for Hilbert spaces in the modern sense (complete inner product spaces), which he defined in 1928. p. 3 line6: At the end of the line, 2ɛ should be 4ɛ. p. 3 I.1.2.3: The statement that a dense subspace of a Hilbert space H contains an orthonormal basis for H can be false if H
ORTHONORMAL BASES OF HILBERT SPACES
, 908
"... Assume H is a Hilbert space and K is a dense linear (not necessarily closed) subspace. The question whether K necessarily contains an orthonormal basis for H even when H is nonseparable was mentioned by Bruce Blackadar in an informal conversation during the Canadian Mathematical Society meeting in O ..."
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Assume H is a Hilbert space and K is a dense linear (not necessarily closed) subspace. The question whether K necessarily contains an orthonormal basis for H even when H is nonseparable was mentioned by Bruce Blackadar in an informal conversation during the Canadian Mathematical Society meeting
Orthonormal Ridgelets and Linear Singularities
, 1998
"... We construct a new orthonormal basis for L2 (R2), whose elements are angularly integrated ridge functions — orthonormal ridgelets. The new basis functions are in L2 (R2) and so are to be distinguished from the ridge function approximation system called ridgelets by Candès (1997, 1998), as ridge func ..."
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Cited by 62 (15 self)
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We construct a new orthonormal basis for L2 (R2), whose elements are angularly integrated ridge functions — orthonormal ridgelets. The new basis functions are in L2 (R2) and so are to be distinguished from the ridge function approximation system called ridgelets by Candès (1997, 1998), as ridge
Time Invariant Orthonormal Wavelet Representations
"... A simple construction of an orthonormal basis starting with a so called mother wavelet, together with an efficient implementation gained the wavelet decomposition easy acceptance and generated a great research interest in its applications. An orthonormal basis may not, however, always be a suitable ..."
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Cited by 71 (9 self)
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representation of a signal, particularly when time (or space) invariance is a required property. The conventional way around this problem is to use a redundant decomposition. In this paper, we address the time invariance problem for orthonormal wavelet transforms and propose an extension to wavelet packet
Interpolatory And Orthonormal Trigonometric Wavelets
 J. Zeevi and R. Coifman
, 1998
"... The aim of this paper is the detailed investigation of trigonometric polynomial spaces as a tool for approximation and signal analysis. Sample spaces are generated by equidistant translates of certain de la Vallée Poussin means. The different de la Vallée Poussin means enable us to choose between be ..."
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Cited by 24 (13 self)
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The aim of this paper is the detailed investigation of trigonometric polynomial spaces as a tool for approximation and signal analysis. Sample spaces are generated by equidistant translates of certain de la Vallée Poussin means. The different de la Vallée Poussin means enable us to choose between
On orthonormal Muntz–Laguerre filters
"... When the MüntzSzász condition holds, the MüntzLaguerre filters form a uniformly bounded orthonormal basis in Hardy space. This has consequences in terms of optimal polecancellation schemes, and it also allows for a generalization of Lerch’s theorem. ..."
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Cited by 10 (5 self)
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When the MüntzSzász condition holds, the MüntzLaguerre filters form a uniformly bounded orthonormal basis in Hardy space. This has consequences in terms of optimal polecancellation schemes, and it also allows for a generalization of Lerch’s theorem.
An Orthonormal Basis for Entailment
 In Proceedings of the Eighteenth International Florida Artificial Intelligence Research Society Conference
, 2005
"... Entailment is a logical relationship in which the truth of a proposition implies the truth of another proposition. The ability to detect entailment has applications in IR, QA, and many other areas. This study uses the vector space model to explore the relationship between cohesion and entailment. A ..."
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Cited by 3 (2 self)
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Latent Semantic Analysis space is used to measure cohesion between propositions using vector similarity. We present perhaps the first vector space model of entailment. The critical element of the model is the orthonormal basis, which we propose is a geometric construction for inference.
Orthonormal Isotropic Vector Bases
, 1998
"... Orthonormal bases of isotropic vectors for indefinite square matrices are proposed and solved. A necessary and sufficient condition is that the matrix must have zero trace. A recursive algorithm is presented for computer applications. The isotropic vectors of 33 matrices are solved explicitly. Devia ..."
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Orthonormal bases of isotropic vectors for indefinite square matrices are proposed and solved. A necessary and sufficient condition is that the matrix must have zero trace. A recursive algorithm is presented for computer applications. The isotropic vectors of 33 matrices are solved explicitly
Systematic design of unitary spacetime constellations
 IEEE TRANS. INFORM. THEORY
, 2000
"... We propose a systematic method for creating constellations of unitary space–time signals for multipleantenna communication links. Unitary space–time signals, which are orthonormal in time across the antennas, have been shown to be welltailored to a Rayleigh fading channel where neither the transm ..."
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Cited by 201 (10 self)
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We propose a systematic method for creating constellations of unitary space–time signals for multipleantenna communication links. Unitary space–time signals, which are orthonormal in time across the antennas, have been shown to be welltailored to a Rayleigh fading channel where neither
Results 1  10
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877