Multidimensional Tauberian theorems for vector-valued distributions [PDF]
, 2014 We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M-phi(f)(x, y) = (f * phi(y))(x), (x, y) is an element of R-n x R+, with kernel phi(y) (t) =
Pilipović, Stevan, Vindas Diaz, Jasson
core +2 more sources
Riesz transforms on solvable extensions of stratified groups [PDF]
, 2018 Let $G = N \rtimes A$, where $N$ is a stratified group and $A = \mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous sub-Laplacians on $N$ and $A$ can be lifted to left-invariant operators on $G$ and their sum is a sub-Laplacian $\Delta$ on $G$.
Martini, Alessio, Vallarino, Maria
core +2 more sources
On the pointwise convergence of the integral kernels in the Feynman-Trotter formula [PDF]
, 2019 We study path integrals in the Trotter-type form for the Schr\"odinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potential $V$ in a class encompassing that - considered by Albeverio and It\^o ...
Nicola, Fabio, Trapasso, S. Ivan
core +2 more sources
Tauberian class estimates for vector-valued distributions [PDF]
, 2019 We study Tauberian properties of regularizing transforms of vector-valued tempered distributions, that is, transforms of the form $M^{\mathbf{f}}_{\varphi}(x,y)=(\mathbf{f}\ast\varphi_{y})(x)$, where the kernel $\varphi$ is a test function and $\varphi_ ...
Pilipović, Stevan, Vindas, Jasson
core +2 more sources
Remarks on the Formulation of Quantum Mechanics on Noncommutative Phase Spaces [PDF]
, 2006 We consider the probabilistic description of nonrelativistic, spinless one-particle classical mechanics, and immerse the particle in a deformed noncommutative phase space in which position coordinates do not commute among themselves and also with ...
A. Eftekharzadeh +17 more
core +4 more sources
Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces [PDF]
, 2000 The kinetic theory is formulated with respect to anholonomic frames of reference on curved spacetimes. By using the concept of nonlinear connection we develop an approach to modelling locally anisotropic kinetic processes and, in corresponding limits ...
Abramowitz +44 more
core +2 more sources
Integration by differentiation: new proofs, methods and examples [PDF]
, 2017 Recently, new methods were introduced which allow one to solve ordinary integrals by performing only derivatives. These studies were originally motivated by the difficulties of the quantum field theoretic path integral, and correspondingly, the results ...
Jia, Ding, Kempf, Achim, Tang, Eugene
core +2 more sources
Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior [PDF]
, 2019 We provide several Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. Our results generalize and improve various known versions of the Ingham-Fatou-Riesz theorem and the Wiener-Ikehara theorem.
Debruyne, Gregory, Vindas Diaz, Jasson
core +1 more source
Probability & incompressible Navier-Stokes equations: An overview of some recent developments
, 2005 This is largely an attempt to provide probabilists some orientation to an important class of non-linear partial differential equations in applied mathematics, the incompressible Navier-Stokes equations.
Waymire, Edward C.
core +1 more source
Discrete-Time Path Distributions on Hilbert Space [PDF]
, 2012 We construct a path distribution representing the kinetic part of the Feynman path integral at discrete times similar to that defined by Thomas [1], but on a Hilbert space of paths rather than a nuclear sequence space. We also consider different boundary
Beau, Mathieu, Dorlas, T. C.
core +4 more sources