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THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations
soliton solutions scattering data dimensional BEC
2010/4/1
We analyze the properties of the soliton solutions of a class of models describing one-dimensional BEC with spin F. We describe the minimal sets of scattering data which determine uniquely both the co...
Subdivision algorithm (Stationary or Non-stationary) is one of
the most active and exciting research topics in wavelet analysis
and applied mathematical theory. In multidimensional non-stationary
s...
AN EMBEDDING FOR THE $E_2$-TERM OF THE ADAMS SPECTRAL SEQUENCE AT ODD PRIMES
Koszul algebras Cohomology of algebras Adams spectral sequence
2007/12/11
Let $p$ be an odd prime. In this paper we introduce a quadratic linear $\mathbb F_p$-algebra $Q_1$ obtained by suitably changing the generators of $Q$, the homogeneous quadratic algebra of cohomology ...
On the Convergence of Products ...... in the Adams Spectral Sequence
stable homotopy groups of spheres Adams spectral sequence May spectral sequence
2007/12/10
Let $A$ be the mod $p$ Steenrod algebra and $S$ the sphere spectrum localized at $p$, where $p$ is an odd prime. In 2001 Lin detected a new family in the stable homotopy of spheres which is represente...
On the Spectral Properties of the Regular Sturm-Liouville Problem with the Lag Argument for Which its Boundary Conditions Depends on the Spectral Parameter
Lag argument Eigenvalue Eigenfunction Asymptotic expression
2010/3/1
In this paper, the asymptotic expression of the eigenvalues and eigenfunctions of the Sturm-Liouville equation with the lag argument y''(t) + l2 y(t) + M(t)y (t - D(t)) = 0 and the spectral parameter ...