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We introduce the notion of a generalised symmetry M of a hamiltonian H. It is a symmetry which has been broken in a very specific manner, involving ladder operators R and R*. In Theorem 1 these generalised symmetries are characterised in…

Mathematical Physics · Physics 2015-05-30 Jan Naudts , Tobias Verhulst

We generalize Batchelor's parameterization of the autocorrelation functions of isotropic turbulence in a form involving a product expansion with multiple small scales. The richer small scale structure acquired this way, compared to the…

Fluid Dynamics · Physics 2015-01-13 Elias Gravanis , Evangelos Akylas

The purpose of this paper is to continue studying the properties of $\gamma$-regular open sets introduced and explored in [6]. The concept of $\gamma$-closed spaces have also been defined and discussed.

General Topology · Mathematics 2013-11-19 Sabir Hussain

In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.

Classical Analysis and ODEs · Mathematics 2023-07-25 R. S. Costas-Santos

We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized…

Functional Analysis · Mathematics 2012-05-31 Michael Kunzinger , Eduard Nigsch

This paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.

Classical Analysis and ODEs · Mathematics 2011-09-01 B. A. Bhayo , M. Vuorinen

In this paper, we show that there is a close relationship between generalized subtangent manifolds and Lie groupoids. We obtain equivalent assertions among the integrability conditions of generalized almost subtangent manifolds, the…

Geometric Topology · Mathematics 2012-11-02 Fulya Sahin

We analyze single particle coherence and interference in the presence of particle loss and derive an inequality that relates the preservation of coherence, the creation of superposition with the vacuum, and the degree of particle loss. We…

Quantum Physics · Physics 2007-05-23 Johan Aberg , Daniel K. L. Oi

A method of computation of its terms is presented together with some stabilization results. As an application a characterization of symplectic harmonic manifolds is given and a relationship with the C-spectral sequence is indicated.

Symplectic Geometry · Mathematics 2007-05-23 A. M. Vinogradov , C. Di Pietro

The generalized vector is defined on an $n$ dimensional manifold. Interior product, Lie derivative acting on generalized $p$-forms, $-1\le p\le n$ are introduced. Generalized commutator of two generalized vectors are defined. Adding a…

Mathematical Physics · Physics 2007-05-23 Saikat Chatterjee , Amitabha Lahiri , Partha Guha

\begin{abstract} We apply the theory of generalized Watson transforms developed in \cite{zheng00} to construct the complementary series of $GL(2,\R)$. \end{abstract}

Representation Theory · Mathematics 2019-01-21 Qifu Zheng

In this paper, we extend the previous convergence results for the generalized alternating projection method applied to subspaces in [arXiv:1703.10547] to hold also for smooth manifolds. We show that the algorithm locally behaves similarly…

Optimization and Control · Mathematics 2024-04-10 Mattias Fält , Pontus Giselsson

The aim of this paper is to give a new description of the geometry appearing in the multi-specialization along a general family of submanifolds of a real analytic manifold (including some important cases as clean intersection or a…

Algebraic Geometry · Mathematics 2016-09-02 Naofumi Honda , Luca Prelli

One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called $(k,c)$ models, for local components of generalized Speh representations. We construct a family of $(k,c)$…

Number Theory · Mathematics 2021-09-24 Yuanqing Cai , Solomon Friedberg , Dmitry Gourevitch , Eyal Kaplan

We define and analyze various generalizations of the punctual Hilbert scheme of the plane, associated to complex or real Lie algebras. Out of these, we construct new geometric structures on surfaces whose moduli spaces share multiple…

Differential Geometry · Mathematics 2021-03-29 Alexander Thomas

We consider the concept of a generalised manifold in the O(d,d) setting, i.e., in double geometry. The conjecture by Hohm and Zwiebach for the form of finite generalised diffeomorphisms is shown to hold. Transition functions on overlaps are…

High Energy Physics - Theory · Physics 2015-06-18 David S. Berman , Martin Cederwall , Malcolm J. Perry

We prove two new estimates for the level set flow of mean convex domains in Riemannian manifolds. Our estimates give control - exponential in time - for the infimum of the mean curvature, and the ratio between the norm of the second…

Differential Geometry · Mathematics 2015-08-05 Robert Haslhofer , Or Hershkovits

In this paper, we show how to apply a theorem by L\^e D.T. and the author about linear families of curves on normal surface singularities to get new results in this area. The main concept used is a specific definition of {\em general…

Algebraic Geometry · Mathematics 2007-05-23 Romain Bondil

We define the generalized connected sum for generic closed plane curves, generalizing the strange sum defined by Arnold, and completely describe how the Arnold invariants $J^{\pm}$ and $\mathit{St}$ behave under the generalized connected…

Geometric Topology · Mathematics 2019-02-04 Keiichi Sakai , Ryutaro Sugiyama

A generalised notion of connection on a fibre bundle E over a manifold M is presented. These connections are characterised by a smooth distribution on E which projects onto a (not necessarily integrable) distribution on M and which, in…

Differential Geometry · Mathematics 2007-05-23 F. Cantrijn , B. Langerock
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