Results 41 to 50 of about 567,713 (175)

Sub-subleading soft graviton theorem from asymptotic Einstein’s equations

Journal of High Energy Physics, 2022
We identify in Einstein gravity an asymptotic spin-2 charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem.
Laurent Freidel, Daniele Pranzetti, Ana-Maria Raclariu   +2 more
doaj   +1 more source

Identity Theorem for Pro-p-groups [PDF]

, 2019
We prove the Identity Theorem for pro-$p$-groups with a single defining relation giving a positive feedback to a question of Serre on the structure of relation modules. A construction of "conjurings" indicates finality of our result in a certain sense.
openaire   +2 more sources

On the Carleman classes of vectors of a scalar type spectral operator

International Journal of Mathematics and Mathematical Sciences, 2004
The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.
Marat V. Markin
doaj   +1 more source

1/L 2 corrected soft photon theorem from a CFT3 Ward identity

Journal of High Energy Physics, 2023
Classical soft theorems applied to probe scattering processes on AdS4 spacetimes predict the existence of perturbative 1/L 2 corrections to the soft photon and soft graviton factors of asymptotically flat spacetimes.
Nabamita Banerjee, Karan Fernandes, Arpita Mitra   +2 more
doaj   +1 more source

A charged particle in a magnetic field - Jarzynski Equality

, 2007
We describe some solvable models which illustrate the Jarzynski theorem and related fluctuation theorems. We consider a charged particle in the presence of magnetic field in a two dimensional harmonic well.
A. M. Jayannavar, C. Bustamante, F. Ritort, H. Risken, J. C. Reid, J. H. van Leeuwen, J. Liphardt, Mamata Sahoo, R. E. Peierls, R. van Zon   +9 more
core   +1 more source

Soft theorems in de Sitter spacetime

Journal of High Energy Physics
In this paper, we derive a soft photon theorem and a soft gluon theorem in the de Sitter spacetime from the Ward identity of the near cosmological horizon large gauge transformation.
Pujian Mao, Kai-Yu Zhang
doaj   +1 more source

A Theorem on the Annamalai’s Binomial Identities

SSRN Electronic Journal, 2022
This paper presents an algorithmic technique to establish a theorem on the Annamalai’s binomial identities. The binomial theorem and its computing technique refer to a sort of methodological advances that is useful for researchers working in computation, science, engineering, and management.
openaire   +1 more source

The convolution algebra H1(R)

Journal of Function Spaces and Applications, 2010
H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}.
R. L. Johnson, C. R. Warner
doaj   +1 more source

On the Birman–Krein Theorem

Comptes Rendus. Mathématique, 2023
It is shown that if $X$ is a unitary operator so that a singular subspace of $U$ is unitarily equivalent to a singular subspace of $UX$ (or $XU$), for each unitary operator $U$, then $X$ is the identity operator.
Bazao, Vanderléa R., de Oliveira, César R., Diaz, Pablo A.   +2 more
doaj   +1 more source

Structure of Finite-Dimensional Protori

Axioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source