English
Related papers

Related papers: Reply to comment on "Exact Solution for Three-Dime…

200 papers

We solve in the negative two open problems, related to the linear and topological structure of the set of recurrent vectors, asked by Sophie Grivaux, Alfred Peris and the first author of this paper. Firstly, we show that there exist…

Functional Analysis · Mathematics 2025-04-01 Antoni López-Martínez , Quentin Menet

By setting up appropriate uniform convergence structures, we are able to reformulate the Order Completion Method of Oberguggenberger and Rosinger in a setting that more closely resembles the usual topological constructions for solving PDEs.…

General Mathematics · Mathematics 2007-06-28 Jan Harm van der Walt

In astro-ph/0702542v2, Linder and Miquel seek to criticize the use of Bayesian model selection for data analysis and for survey forecasting and design. Their discussion is based on three serious misunderstandings of the conceptual…

We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators. We improve on previous…

High Energy Physics - Theory · Physics 2016-08-24 Filip Kos , David Poland , David Simmons-Duffin , Alessandro Vichi

Kadanoff's "correlations along a line" in the critical two-dimensional Ising model (1969) are reconsidered. They are the analytical aspect of a representation of abelian chiral vertex operators as quadratic polynomials, in the sense of…

High Energy Physics - Theory · Physics 2008-11-26 K. Frieler , K. -H. Rehren

This paper has been withdrawn by the author, due to an error in relation (11).

Strongly Correlated Electrons · Physics 2007-05-23 Xiang-Yu Ge

For operators representing ill-posed problems, an ordering by ill-posedness is proposed, where one operator is considered more ill-posed than another one if the former can be expressed as a cocatenation of bounded operators involving the…

Functional Analysis · Mathematics 2025-02-06 Stefan Kindermann , Bernd Hofmann

A new Goodman-Sharma type modification of the Meyer-K\"{o}nig and Zeller operator for approximation of bounded continuous functions on [0,1) is presented. We estimate the approximation error of the proposed operator and prove direct and…

Classical Analysis and ODEs · Mathematics 2025-06-18 Ivan Gadjev , Parvan Parvanov , Rumen Uluchev

We point out that an erroneous derivation in the recent paper [Fetecau et al., Nonlinear Anal. RWA 12 (2011) 1] yields a correct solution by accident. Additionally, a number of misrepresentations and inaccuracies in the latter recent paper…

Fluid Dynamics · Physics 2011-08-19 Ivan C. Christov

In this paper we solve the polarization problem for real Hilbert spaces, a long-standing conjecture that had remained open for nearly three decades. We also confirm that the only extremal configurations are orthonormal sets. These are…

Functional Analysis · Mathematics 2026-05-28 Ángel D. Martínez , Oscar Ortega-Moreno

These three topics are an attempt to explicate some curiosities of the inverse problem of representation theory (i.e. having a set of operators to describe the "correct" algebraic object, which is represented by them) on simple examples…

High Energy Physics - Theory · Physics 2008-02-03 Denis Juriev

Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, J. Com. Appl. Math. 233 (2009) 97--102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and consequently all nontrivial solutions by Assas…

Exactly Solvable and Integrable Systems · Physics 2010-04-08 Nikolai A. Kudryashov

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

High Energy Physics - Theory · Physics 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

Statistical models that analyse (pairwise) relations between variables encompass assumptions about the underlying mechanism that generated the associations in the observed data. In the present paper we demonstrate that three Ising model…

Methodology · Statistics 2016-10-07 Joost Kruis , Gunter Maris

We discuss the relationship between exact solvability of the Schr\"{o}dinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the frame of supersymmetric quantum mechanics. The…

Quantum Physics · Physics 2009-11-07 Besire Gonul , Bulent Gonul , Dilek Tutcu , Okan Ozer

Answer to Comment by J.B. Pendry on" Left-handed materials do not make a perfect lens" by N. Garcia and M. Nieto-Vesperinas

Condensed Matter · Physics 2007-05-23 N. Garcia , M. Nieto-Vesperinas

We solve the equivalence problem for the orthogonally separable webs on the three-sphere under the action of the isometry group. This continues a classical project initiated by Olevsky in which he solved the corresponding canonical forms…

Mathematical Physics · Physics 2015-05-20 Caroline Cochran , Raymond G. McLenaghan , Roman G. Smirnov

We study approximately orthogonality (in the sense of Dragomir) preserving and reversing operators. We show that for some orthogonality notations, an operator defined from a finite-dimensional Banach space to a normed linear space is…

Functional Analysis · Mathematics 2025-12-11 Divya Khurana

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

This paper has excessive overlap with the following papers also written by the authors or their collaborators: hep-th/0505013 and 0705.2930.

General Relativity and Quantum Cosmology · Physics 2019-10-21 Ihsan Yilmaz , Melis Aygun , Sezgin Aygun