On some spaces of functions and distributions (II). Integral transforms in $D_{M}$ and $D'_{M}$ [PDF]
Studia Mathematica, 1962 Julian Musielak
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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
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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
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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
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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
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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
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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
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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
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Multiresolution expansions of distributions : pointwise convergence and quasiasymptotic behavior [PDF]
, 2015 In several variables, we prove the pointwise convergence of multiresolution expansions to the distributional point values of tempered distributions and distributions of superexponential growth. The article extends and improves earlier results by G.
Kostadinova, Sanja, Vindas Diaz, Jasson
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Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics [PDF]
, 2006 In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions.
Astefanesei D. +8 more
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