Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations [PDF]
In this paper we present a comprehensive treatment of function spaces with logarithmic smoothness (Besov, Sobolev, Triebel-Lizorkin). We establish the following results: Sharp embeddings between the Besov spaces defined by differences and by Fourier ...
Oscar Dom'inguez, S. Tikhonov
semanticscholar +1 more source
Analysis of multi-frequency subspace migration weighted by natural logarithmic function for fast imaging of two-dimensional thin, arc-like electromagnetic inhomogeneities [PDF]
The present study seeks to investigate mathematical structures of a multi-frequency subspace migration weighted by the natural logarithmic function for imaging of thin electromagnetic inhomogeneities from measured far-field pattern.
Young-Deuk Joh, W. Park
semanticscholar +1 more source
Logarithmic behaviour of connected correlation function in CFT
We study the (m)-type connected correlation functions of OPE blocks with respect to one spatial region in two dimensional conformal field theory. We find a logarithmic divergence for these correlation functions.
Jiang Long
doaj +1 more source
It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi +3 more
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A Foundation for Logarithmic Utility Function of Money
This paper presents a study on the optimization problem of a consumer’s choice constrained to a single time interval. In this problem, the choice is made over a set of perishable goods such that they do not retain value at the end of the period.
Francisco J. Navarro-González +1 more
doaj +1 more source
Logarithmic tail contributions to the energy function of circular compact binaries [PDF]
We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity.
L. Blanchet +3 more
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On the General and Measurable Solutions of some Functional Equations
The general solutions of two functional equations, without imposing any regularity condition on any of the functions appearing, have been obtained. From these general solutions, the Lebesgue measurable solutions have been deduced by assuming the function(
Nath Prem, Singh Dhiraj Kumar
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Tests of fit for the logarithmic distribution [PDF]
Smooth tests for the logarithmic distribution are compared with three tests: the first is a test due to Epps and is based on a probability generating function, the second is the Anderson-Darling test, and the third is due to Klar and is based on the ...
Best, DJ, Rayner, JCW, Thas, Olivier
core +5 more sources
Calculation of the Characteristic Functions of Anharmonic Oscillators [PDF]
The energy levels of quantum systems are determined by quantization conditions. For one-dimensional anharmonic oscillators, one can transform the Schrodinger equation into a Riccati form, i.e., in terms of the logarithmic derivative of the wave function.
Alvarez +25 more
core +2 more sources
Relaxed Logarithmic Barrier Function Based Model Predictive Control of Linear Systems [PDF]
In this paper, we investigate the use of relaxed logarithmic barrier functions in the context of linear model predictive control. We present results that allow to guarantee asymptotic stability of the corresponding closed-loop system, and discuss further
Christian Feller, C. Ebenbauer
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