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FUSION OF HYPERSPECTRAL AND MULTISPECTRAL IMAGERY WITH REGRESSION KRIGING AND THE LULU OPERATORS; A COMPARISON
Image fusion Regression Kriging LULU operators Classification, Slums
2019/2/28
In this digital world, there is a large requirement of high resolution satellite image. Images at a low resolution may contain relevant information that has to be integrated with the high resolution i...
Dimension-eight operators in the weak OPE
Weak amplitude attenuation amplitude weak Hamiltonian separation
2014/12/22
We argue that there is a potential flaw in the standard treatment of weak decay amplitudes, including that of ǫ′/ǫ. We show that (contrary to conventional wisdom) dimension-eight operators d...
The influence of dimension eight operators on weak matrix elements
Mu dimension calculation matrix elements scale dimensional regularization
2014/12/22
I describe recent work with V. Cirigliano and E. Golowich on the effect of dimension eight operators on weak nonleptonic amplitudes. The basic mesage is that there is an inconsistency in the way that ...
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
Localization for quasi-periodic Schrodinger operators with dynamics defined by the skew-shift and potential in a Gevrey-class
Mathematical Physics Spectral Theory dynamics quasi-periodic Schrodinger operators
2012/4/16
We consider the discrete one-dimensional Schr\"{o}dinger operator with quasi-periodic potential $v_n := \lambda v (\shift^n \, \xx)$, where $\shift : \T^2 \rightarrow \T^2, \, \shift \xx := (x_1+x_2, ...
A spectral theory of linear operators on rigged Hilbert spaces under certain analyticity conditions
generalized eigenvalue resonance pole rigged Hilbert space Gelfand triplet generalized function
2011/9/22
Abstract: A spectral theory of linear operators on rigged Hilbert spaces (Gelfand triplets) is developed under the assumptions that a linear operator $T$ on a Hilbert space $\mathcal{H}$ is a perturba...
Abstract: We show that the Pfaffian of a generator matrix for the affine Kac--Moody algebra hat o_{2n} is a Segal--Sugawara vector. Together with our earlier construction involving the symmetrizer in ...
A vanishing theorem for operators in Fock space
non-relativistic quantum electrodynamics Fock space operator theoretic renormalization symmetry
2011/9/19
Abstract: We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a cer...
Asymptotics of spectral quantities of Schrodinger operators
Asymptotics spectral quantities Schrodinger operators
2011/9/19
Abstract: In this paper we provide new asymptotic estimates of the Floquet exponents of Schr\"odinger operators on the circle. By the same techniques, known asymptotic estimates of various others spec...
A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
non-uniqueness problem Dirac Hamiltonian energy operators General Relativity and Quantum Cosmology
2011/10/9
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces
Quadratic estimates holomorphic functional calculi doubling measure measure metric space Dirac type operators
2011/9/15
Abstract: We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for...
Heat Kernel Coefficients for Laplace Operators on the Spherical Suspension
Heat Kernel Coefficients Laplace Operators Spherical Suspension
2011/9/14
Abstract: In this paper we compute the coefficients of the heat kernel asymptotic expansion for Laplace operators acting on scalar functions defined on the so called spherical suspension (or Riemann c...
Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
Self-adjoint commuting differential operators commutative subalgebras the Weyl algebra Mathematical Physics
2011/9/13
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
Discrete Schrodinger operators with random alloy-type potential
multiscale analysis fractional moment method Cartan’s Theorem localization discrete alloy-type model non-monotone
2011/9/6
Abstract: We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a fa...
Asymptotic Analysis of Non-self-adjoint Hill Operators
Asymptotic formulas for eigenvalues and eigenfunctions Hill operator Spectral singularities Spectral operator
2011/9/5
Abstract: In this article we obtain asymptotic formulas, uniform with respect to t\in[0,2{\pi}), for eigenvalues and eigenfunctions of the Sturm-Liouville operators L_{t}(q) with potential q\inL_{1}[0...