Search
Search Results
-
First-Order Primal–Dual Methods for Nonsmooth Non-convex Optimization
We provide an overview of primal–dual algorithms for nonsmooth and non-convex-concave saddle-point problems. This flows around a new analysis of such...
-
First-Order Primal–Dual Methods for Nonsmooth Non-convex Optimization
We provide an overview of primal–dual algorithms for nonsmooth and non-convex-concave saddle-point problems. This flows around a new analysis of such...
-
Linear Perturbations of the Wigner Transform and the Weyl Quantization
We study a class of quadratic time-frequency representations that, roughly speaking, are obtained by linear perturbations of the Wigner transform....
-
-
Fractional Gamma Noise Functionals
We construct an infinite dimensional analysis with respect to non-Gaussian measures of fractional Gamma type which we call fractional Gamma noise...
-
Product factorability of integral bilinear operators on Banach function spaces
This paper deals with bilinear operators acting in pairs of Banach function spaces that factor through the pointwise product. We find similar...
-
The initial-boundary value problems of the new two-component generalized Sasa–Satsuma equation with a \(4\times 4\) matrix Lax pair
In this paper, we consider a new two-component Sasa–Satsuma equation, which can simulate the propagation and interaction of ultrashort pulses and...
-
N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles
In this paper, the (3+1)-dimensional variable-coefficient generalized nonlinear wave equation arising in a liquid with gas bubbles is studied. The...
-
On the Connes–Kasparov isomorphism, I
This is the first of two papers dedicated to the detailed determination of the reduced C*-algebra of a connected, linear, real reductive group up to...
-
Hilbert Space and Elements of Fourier Analysis
The basic tools of analysis rely on the translation invariance properties of functions and operations on Euclidean space, and, at least for...
-
Moment Estimates of the Cloud of a Planar Measure
With a proper function theoretic definition of the cloud of a positive measure with compact support in the real plane, a computational scheme of...
-
Lagrangian Grassmannians of Polarizations
This chapter is an introduction to polarizations in the symplectic and orthogonal settings. They arise in association to a triple of compatible...
-
Riemann-Hilbert Problems of a Six-Component mKdV System and its Soliton Solutions
Based on a 4 × 4 matrix spectral problem, an AKNS soliton hierarchy with six potentials is generated. Associated with this spectral problem, a kind...
-
-
The Mellin Transform and the Plancherel Theorem for the Discrete Heisenberg Group
In the classical representation theory of locally compact groups, there are well-known constructions of a unitary dual space of irreducible...
-
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results
We present a survey and new results on the construction and Gelfand theory of commutative Toeplitz algebras over the standard weighted Bergman and...
-
Linear Elliptic Systems
Sometimes, in many physical situations, one has to look not only for a scalar u but also for a vector...
-
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation
We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional cubic wave equation, which is also known as the hyperbolic
... 