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On Explicit Holmes-Thompson Area Formula in Integral Geometry
Minkowski space Holmes-Thompson Volume symplectic structure
2010/12/13
In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski space has a symplectic structure which is induced by the projection from ...
Equivalence of O(3) nonlinear sigma model and the CP1 model: A path integral approach
O(3) nonlinear sigma model CP1 model integral approach
2010/11/8
A rigorous proof is given on the equivalence of the O(3) nonlinear sigma model and the CP1 model via path integral approach.
New Galactic High Mass X-ray Binaries discovered with INTEGRAL
High Energy Astrophysical Phenomena (astro-ph.HE)
2010/12/28
I will review the main observational properties of the new Galactic High Mass X-ray Binaries discovered by the INTEGRAL satellite in the hard energy range 17-100 keV.
Positron annihilation spectrum from the Galactic Centre region observed by SPI/INTEGRAL, revisited: annihilation in a cooling ISM?
High Energy Astrophysical Phenomena (astro-ph.HE)
2010/12/24
We analyse SPI/INTEGRAL data on the 511 keV line from the Galactic Centre, accumulated over ~6 years of observations.
To describe the physical reality, there are two ways of constructing the dynamical equation of field, differential formalism and integral formalism. The importance of this fact is firstly emphasized b...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial dierential equations is presented. In particular, linearly implicit methods preserving a time avera...
Derivation of an integral of Boros and Moll via convolution of Student t-densities
Quartic integral Student t-density
2010/12/6
We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.
The Evaluation of a Quartic Integral via Schwinger, Schur and Bessel
integrals hypergeomteric functions Bessel functions Schur functions
2010/12/6
We provide additional methods for the evaluation of the integral N0,4(a;m) := Z 1 0 dx (x4 + 2ax2 + 1)m+1 where m 2 N and a 2 (−1,1) in the form N0,4(a;m) = 2m+3/2(a + 1)m+1/2 Pm(a)
where Pm(a...
Calculation of generalized Hubbell rectangular source integral
Appell hypergeometric functions F2 Hubbell radiation rectangular source integral
2010/12/3
A simple formula for computing the generalized Hubbell radiation rectangular source integral
H a, b, p, λ α, β, γ = σa 4π Z b 0 x(x2 + p)− 2F1(α, β; γ;− a2\ x2 + p )dx, is introduce...
On integral equations related to weighted Toepitz operators
Toeplitz operators Lipschitz spaces holomorphic Besov spaces Hardy spaces
2010/12/7
For weighted Toeplitz operators T N ' defined on spaces of holomorphic functions in the unit ball, we derive regularity prop-erties of the solutions f to the integral equation T N ' (f) = h in terms o...
Results on the Ratliff-Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves
Monomial curves normal ideals Ratliff-Rush closure integral closure monomial ideals
2010/11/30
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...
In some previous papers we have defined and studied a ’magnetic’ pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we...
Lifting, restricting and sifting integral points on affine homogeneous varieties
integral points affine homogeneous varieties
2010/12/13
In [GN2] an effective solution of the lattice point counting problem in general domains in semisimple S-algebraic groups and affine symmetric varieties was established. The method relies on the mean e...
Double Series Involving Binomial Coefficients and the Sine Integral
Double Series Involving Binomial Coefficients Sine Integral
2010/11/26
By dividing hypergeometric series representations of the inverse sine by sin-1(x) and ntegrating, new double series representations of integers and constants arise. Binomial coefficients and the sine ...
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Rayleigh functions Laplacian eigenvalue problems non-local boundary conditions
2010/12/9
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...