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THE DIVERGENCE PHENOMENA OF INTERPOLATION TYPE OPERATORS IN Lp SPACE BY
"... Let Lp[−1,1], 1 ≤ p < ∞, be the class of real pintegrable functions on ..."
Reproducing kernel hilbert spaces and mercer theorem. eprint arXiv: math/0504071, 2005. available at http://arxiv.org
"... We characterize the reproducing kernel Hilbert spaces whose elements are pintegrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2 we show that the spectral decomposition of this integral operator gives a complete descript ..."
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Cited by 3 (0 self)
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We characterize the reproducing kernel Hilbert spaces whose elements are pintegrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2 we show that the spectral decomposition of this integral operator gives a complete
LevelSpacing Distributions and the Airy Kernel
 COMMUNICATIONS IN MATHEMATICAL PHYSICS
, 1994
"... Scaling levelspacing distribution functions in the "bulk of the spectrum" in random matrix models of N x N hermitian matrices and then going to the limit N — » oo leads to the Fredholm determinant of the sine kernel sinπ(x — y)/π(x — y). Similarly a scaling limit at the "edge o ..."
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Cited by 430 (24 self)
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;quot;edge of the spectrum " leads to the Airy kernel [Ai(x) Ai(y) — Ai (x) Ai(y)]/(x — y). In this paper we derive analogues for this Airy kernel of the following properties of the sine kernel: the completely integrable system of P.D.E.'s found by Jimbo, Miwa, Mori, and Sato; the expression, in the case of a
Sequences
"... Summary. This article is the continuation of [31]. We define the set of L p integrable functions – the set of all partial functions whose absolute value raised to the pth power is integrable. We show that L p integrable functions form the L p space. We also prove Minkowski’s inequality, Hölder’s in ..."
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Summary. This article is the continuation of [31]. We define the set of L p integrable functions – the set of all partial functions whose absolute value raised to the pth power is integrable. We show that L p integrable functions form the L p space. We also prove Minkowski’s inequality, Hölder’s
Characterizing W 2,p submanifolds by pintegrability of global curvatures
, 2012
"... We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold Σm ⊂ Rn of classC1 and of arbitrary dimension and codimension (or, more generally, an Ahlforsregular compact set Σ satisfying a mild general condition relating the size of holes in Σ to the ..."
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Cited by 1 (1 self)
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to the flatness of Σ measured in terms of beta numbers) is in fact an embedded manifold of class C1,τ ∩W 2,p, where p> m and τ = 1−m/p. The results are based on a careful analysis of Morrey estimates for integral curvature–like energies, with integrands expressed geometrically, in terms of functions
Localization of Calderon Convolution in the Fourier Domain
"... Abstract. In this paper, we introduce and study the localization of Calderon convolution for a finitely generated shiftinvariant space in the Fourier domain. We say that a linear space V of functions on R d is shiftinvariant if f ∈ V implies that f( · − k) ∈ V for all k ∈ Z d. For instance, the ..."
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, the space of all polynomials of degree at most N, the space of all pintegrable functions, and the space of all bandlimited functions in L 2 are shiftinvariant spaces.
Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration
 Journal of Applied Econometrics
, 1999
"... This paper employs response surface regressions based on simulation experiments to calculate asymptotic distribution functions for the Johansentype likelihood ratio tests for cointegration. These are carried out in the context of the models recently proposed by Pesaran, Shin, and Smith (1997) that ..."
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Cited by 299 (11 self)
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This paper employs response surface regressions based on simulation experiments to calculate asymptotic distribution functions for the Johansentype likelihood ratio tests for cointegration. These are carried out in the context of the models recently proposed by Pesaran, Shin, and Smith (1997
Transposon vectors containing nonantibiotic resistance selection markers for cloning and stable chromosomal insertion of foreign genes in gramnegative bacteria
 J
, 1990
"... A simple procedure for cloning and stable insertion of foreign genes into the chromosomes of gramnegative eubacteria was developed by combining in two sets of plasmids (i) the transposition features of Tn1O and TnS; (ii) the resistances to the herbicide bialaphos, to mercuric salts and organomercur ..."
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Cited by 331 (9 self)
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transposons were transformed into a specialized Xpir lysogenic Escherichia coli strain with a chromosomally integrated RP4 that provided broadhostrange conjugal transfer functions. Delivery of the donor plasmids into selected host bacteria was accomplished through mating with the target strain
c © TÜBİTAK Proximinality in L1(I,X)
"... LetX be a Banach space and let (I,Ω, µ) be a measure space. For 1 ≤ p <∞, let Lp(I,X) denote the space of Bochner pintegrable functions defined on I with values in X. The object of this paper is to give sufficient conditions for the proximinality of L1(I,H) + L1(I,G) in L1(I,X), where H and G ar ..."
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LetX be a Banach space and let (I,Ω, µ) be a measure space. For 1 ≤ p <∞, let Lp(I,X) denote the space of Bochner pintegrable functions defined on I with values in X. The object of this paper is to give sufficient conditions for the proximinality of L1(I,H) + L1(I,G) in L1(I,X), where H and G
Robust Higher Order Potentials for Enforcing Label Consistency
, 2009
"... This paper proposes a novel framework for labelling problems which is able to combine multiple segmentations in a principled manner. Our method is based on higher order conditional random fields and uses potentials defined on sets of pixels (image segments) generated using unsupervised segmentation ..."
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Cited by 259 (34 self)
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algorithms. These potentials enforce label consistency in image regions and can be seen as a generalization of the commonly used pairwise contrast sensitive smoothness potentials. The higher order potential functions used in our framework take the form of the Robust P n model and are more general than the P
Results 1  10
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5,652