Results 61 to 70 of about 69,880 (174)
Recent developments on the Stieltjes transform of generalized functions
This paper is concerned with recent developments on the Stieltjes transform of generalized functions. Sections 1 and 2 give a very brief introduction to the subject and the Stieltjes transform of ordinary functions with an emphasis to the inversion ...
Ram Sankar Pathak, Lokenath Debnath
doaj +1 more source
ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik +5 more
wiley +1 more source
Analysis of Operators with Complex Gaussian Kernels over
This paper investigates Abelian theorems for operators with complex Gaussian kernels over distributions of compact support. Furthermore, our investigation encompasses an examination of the Gauss–Weierstrass semigroup, the linear canonical transform, and ...
Hari M. Srivastava +2 more
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An Embedding Theorem for Abelian Categories
There are few recent papers on abelian categories. Thus it is a pleasure to see one which studies the embedding of a small abelian category \(\mathcal S\) as a finitely closed generating full subcategory of a Grothendieck category \(\mathcal C\). Finitely closed means that \(\mathcal S\) is closed under finite limits and colimits in \(\mathcal C\).
openaire +2 more sources
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
A purity theorem for Abelian schemes
We prove a purity theorem for abelian schemes in arbitrary unramified mixed characteristic (0,p). The case p=2 is completely new and the case p>2 fixes several errors in the literature.
openaire +4 more sources
Scissors congruence K$K$‐theory for equivariant manifolds
Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
On stabilizers in finite permutation groups
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley +1 more source
New Advances in Index Whittaker Transforms
In this paper, we establish new Lp-boundedness results and derive novel Parseval–Goldstein relations for the index Whittaker transform. Additionally, we obtain Abelian theorems for the distributional index Whittaker transform applied to distributions ...
Hari Mohan Srivastava +2 more
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