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Approximation of Fourier Integral Operators by Gabor multipliers
Fourier Integral operators modulation spaces short-time Fourier transform Gabor multipliers
2011/9/1
Abstract: A general principle says that the matrix of a Fourier integral operator with respect to wave packets is concentrated near the curve of propagation. We prove a precise version of this princip...
A calculation of a half-integral weight multiplier system on SU(2,1)
half-integral weight multiplier system Number Theory
2011/9/1
Abstract: In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1...
Stability of Localized Integral Operators on Weighted $L^p$ spaces
Integral operator weighted function space Muckenhoupt weight spectrum Bessel potential infinite matrix Wiener’s lemma
2011/8/31
Abstract: In this paper, we consider localized integral operators whose kernels have mild singularity near the diagonal and certain Holder regularity and decay off the diagonal. Our model example is t...
Monotone Hurwitz numbers and the HCIZ integral I
Hurwitz numbers matrix models enumerative geometry Algebraic Geometry
2011/8/25
Abstract: In this article, we study the notion of genus expansion in the Harish-Chandra-Itzykson-Zuber matrix model. We prove that, under suitable hypotheses, each Taylor coefficient of the HCIZ free ...
Integral Value Transformations: A Class of Discrete Dynamical Systems
Discrete Dynamical Systems Topological Dynamics integral value Transformations
2011/9/29
Abstract: Here the Integral Value Transformations (IVTs) are considered to be Discrete Dynamical System map in the space\mathbb{N}_(0). In this paper, the dynamics of IVTs is deciphered through the li...
Integral Bases for the Universal Enveloping Algebras of Map Algebras
the Universal Enveloping Algebras Map Algebras Integral Bases Representation Theory
2011/8/26
Abstract: Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral f...
Fast Timing Analysis of Cygnus X-1 using SPI on board INTEGRAL
Analysis Cygnus board INTEGRAL
2011/9/29
For the very first time, we report the high frequency analysis of Cyg X-1 up to hard X-ray using SPI on-board INTEGRAL. After analyzing the possible contribution fromthe background, and using INTEGRAL...
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
boundary integral operator layer potential fractional Laplacian bounded Lipschitz domain
2011/8/25
Abstract: We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace...
Monotone Hurwitz numbers and the HCIZ integral II
Hurwitz numbers matrix models enumerative geometry Combinatorics
2011/8/25
Abstract: Motivated by results for the HCIZ integral in Part I of this paper, we study the structure of monotone Hurwitz numbers, which are a desymmetrized version of classical Hurwitz numbers. We pro...
Diffuse emission measurement with INTEGRAL/SPI as indirect probe of cosmic-ray electrons and positrons
Galaxy: general ?Galaxy structure ?gamma rays observations
2011/8/24
Significant advances have been made in the understanding of the diffuse Galactic hard X-ray continuum emission using data from the INTEGRAL observatory. The diffuse hard power-law component seen with ...
Diffuse emission measurement with INTEGRAL/SPI as indirect probe of cosmic-ray electrons and positrons
INTEGRAL/SPI indirect probe cosmic-ray electrons positrons
2011/9/26
Significant advances have been made in the understanding of the diffuse Galactic hard X-ray continuum emission using data from the INTEGRAL observatory. The diffuse hard power-law component seen with ...
The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula
2011/7/26
Abstract: In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed. Based on this kernel option formula is obtained, which generalizes the well-...
Series representations of the Riemann and Hurwitz zeta functions and series and integral representations of the first Stieltjes constant
Hurwitz zeta function Riemann zeta function Dirichlet L function generalized Bernoulli number
2011/7/26
Series representations of the Riemann and Hurwitz zeta functions and series and integral representations of the first Stieltjes constant.
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials
Random normal matrices Integral kernels Steepest descents method
2011/7/26
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials.
A family of anisotropic integral operators and behaviour of its maximal eigenvalue
Eigenvalues asymptotics positivity improving integral operators pseudodifferential operators
2011/7/27
A family of anisotropic integral operators and behaviour of its maximal eigenvalue.