Temperature states on gauge groups
The Banach space of workable contingent claims in arbitrage theory
The density of infinitely differentiable functions in Sobolev spaces with mixed boundary conditions
We present a detailed proof of the density of the set in the space of test functions that vanish on some part of the boundary of a bounded domain .
The energy of heavy atoms according to Brown and Ravenhall: the Scott correction.
The Foldy-Wouthuysen transformation in the two-particle case
The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations.
The Kreps–Yan theorem for .
The Mean-Variance-CVaR model for Portfolio Optimization Modeling using a Multi-Objective Approach Based on a Hybrid Method
In this paper we present a new hybrid method, called SASP method. We propose the hybridization of two methods, the simulated annealing (SA), which belong to the class of global optimization based on the principles of thermodynamics, and the descent method were we estimate the gradient using the simultaneous perturbation. This hybrid method gives better results. We use the Normal Boundary Intersection approach (NBI) based on the SASP method to solve...
The -field-irreducible part of a -point functional
The normal form of the Navier-Stokes equations in suitable normed spaces
The obstacle problem for the -harmonic equation.
The realization of positive random variables via absolutely continuous transformations of measure on Wiener space.
The reconstruction of local observable algebras from the euclidean Green's functions of relativistic quantum field theory
The Rényi distances of Gaussian measures
The author in the paper evaluates the Rényi distances between two Gaussian measures using properties of nuclear operators and expresses the formula for the asymptotic rate of the Rényi distances of stationary Gaussian measures by the corresponding spectral density functions in a general case.
The short-range expansion in solid state physics
The solution of a minimax problem connected to the irreducibility of polynominals.
The solution of embedding problems in the framework of GAPs with applications on nonlinear PDEs.
The spin of the ground state of an atom.
In this paper we address a question posed by M. and T. Hoffmann-Ostenhof, which concerns the total spin of the ground state of an atom or molecule. Each electron is given a value for spin, ±1/2. The total spin is the sum of the individual spins.
The Tomita operator for the free scalar field
Theorems of Hicks and LeChatelier-Samuelson type in ideal Banach spaces of infinite sequences.