Results 1 to 10 of about 2,985 (154)
Trace Operators on Regular Trees [PDF]
AbstractWe consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.
Wang Zhuang, Nguyen Khanh, Koskela Pekka
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ONSHORE SEISMIC IMAGING USING DIFFERENT DATA DOMAIN IN NORTHERN NIGER DELTA, NIGERIA [PDF]
Wide azimuth land acquisition, 3D data is spatially well sampled with a wide range of azimuth and the offsets distributed around those azimuths. This work examined how advance seismic processing technique has come onshore, using offset vector tile ...
Addah I. Dickson +2 more
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Trace and Density Results on Regular Trees [PDF]
AbstractThe boundary of a regular tree can be viewed as a Cantor-type set. We equip our tree with a weighted distance and a weighted measure via the Euclidean arc-length and consider the associated first-order Sobolev spaces. We give characterizations for the existence of traces and for the density of compactly supported functions.
Pekka Koskela +2 more
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ON THE REGULARITY OF SLE TRACE [PDF]
We revisit regularity of SLE trace, for all $\unicode[STIX]{x1D705}\neq 8$, and establish Besov regularity under the usual half-space capacity parametrization. With an embedding theorem of Garsia–Rodemich–Rumsey type, we obtain finite moments (and hence almost surely) optimal variation regularity with index $\min (1+\unicode[STIX]{x1D705}/8,2 ...
Friz, Peter K., Tran, Huy
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Eta-invariant of elliptic parameter-dependent boundary-value problems
In this paper, we study the eta-invariant of elliptic parameter-dependent boundary value problems and its main properties. Using Melrose’s approach, we de ne the eta-invariant as a regularization of the winding number of the family.
K. N. Zhuikov, A. Yu. Savin
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Sparse trace norm regularization [PDF]
We study the problem of estimating multiple predictive functions from a dictionary of basis functions in the nonparametric regression setting. Our estimation scheme assumes that each predictive function can be estimated in the form of a linear combination of the basis functions. By assuming that the coefficient matrix admits a sparse low-rank structure,
Jianhui Chen, Jieping Ye
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Trace Formulae for Second-Order Differential Pencils with a Frozen Argument
This paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet.
Yi-Teng Hu, Murat Şat
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Coherence Retrieval Using Trace Regularization [PDF]
28 pages, 10 figures, accepted for publication in SIAM Journal on Imaging ...
Chenglong Bao +4 more
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An algorithm for the retrieval of total column amount of trace gases in a multi-dimensional atmosphere is designed. The algorithm uses (i) certain differential radiance models with internal and external closures as inversion models, (ii) the iteratively ...
Adrian Doicu +2 more
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Amplitude-versus-angle (AVA) inversion for pre-stack seismic data is a key technology in oil and gas reservoir prediction. Conventional AVA inversion contains two main stages.
Ronghuo Dai, Jun Yang
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