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In this note we prove an equivariant version of a result of Cartan for equivariant simplicial cohomology with local coefficients.

Algebraic Topology · Mathematics 2010-03-19 Debasis Sen

We use the Decomposition Theorem to derive several generalizations of the Clemens-Schmid sequence, relating asymptotic Hodge theory of a degeneration to the mixed Hodge theory of its singular fiber(s).

Algebraic Geometry · Mathematics 2022-02-08 Matt Kerr , Radu Laza

We use the author's previous work on atomic decompositions of Besov spaces with spectrum on symmetric cones, to derive new atomic decompositions for Bergman spaces on tube type domains. It is related to work by Ricci and Taibleson who…

Functional Analysis · Mathematics 2018-01-25 Jens Gerlach Christensen

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

Statistical Mechanics · Physics 2012-01-17 Ranjan Kumar Ghosh

In this note we shall give a new proof to a quadrature formulae due to Newton.

Numerical Analysis · Mathematics 2007-05-23 Cezar Lupu , Tudorel Lupu

On compact Riemannian manifolds, we prove a decomposition theorem for arbitrarily bounded energy sequence of solutions of a singular elliptic equation.

Analysis of PDEs · Mathematics 2017-01-03 Youssef Maliki , Fatima Zohra Terki

A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the…

Mathematical Physics · Physics 2014-09-08 Uwe Grimm , Michael Baake

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

The purpose of the present note is to review and improve the convergence of the renormalized winding fields.

Probability · Mathematics 2019-03-29 Yves Le Jan

This note is the follow up to a paper by M. Waldschmidt.

Number Theory · Mathematics 2022-07-11 Igor Nikolaev

We develop the theory of versal deformations of dialgebras and describe a method for constructing a miniversal deformation of a dialgebra.

K-Theory and Homology · Mathematics 2008-07-22 Alice Fialowski , Anita Majumdar

In [2] a new factorization for infinite Hessenberg banded matrices was introduced. In this note we prove that this kind of factorization can also be used for finite matrices. In addition, a new method for solving banded linear systems is…

Numerical Analysis · Mathematics 2021-11-05 D. Barrios Rolanía , J. C. García-Ardila

We prove a new q-analogue of Nicomachus's Theorem about the sum of cubes and some related results.

Combinatorics · Mathematics 2014-04-04 Johann Cigler

We study noncommutative versions of holomorphic and harmonic functions on the unit disk.

Operator Algebras · Mathematics 2007-05-23 Slawomir Klimek

In this paper, we derive a recurrence relation of anti-forcing polynomial for catacondensed hexagonal systems.

Combinatorics · Mathematics 2021-12-01 Shuang Zhao

In this short note we introduce a new metric on certain finite groups. It leads to a class of groups for which the element orders satisfy an interesting inequality. This extends the class CP_2 studied in our previous paper [16].

Group Theory · Mathematics 2015-06-30 Marius Tărnăuceanu

In this paper, we introduce the notion of Maass-Jacobi forms and investigate some properties of these new automorphic forms. We also characterize these automorphic forms in several ways.

Number Theory · Mathematics 2007-05-23 Jae-Hyun Yang

This paper describes a quantum algorithm for efficiently decomposing finite Abelian groups. Such a decomposition is needed in order to apply the Abelian hidden subgroup algorithm. Such a decomposition (assuming the Generalized Riemann…

Data Structures and Algorithms · Computer Science 2007-05-23 Kevin K. H. Cheung , Michele Mosca

In this research notes, we investigate some remain problems in the uniqueness of meromorphic function. Using some deep results of Yamanoii, we obtain some results in this notes.

Complex Variables · Mathematics 2025-03-18 Xiaohuang Huang

The quasi-integrable KdV equation has been obtained from the corresponding deformation of the Hamiltonian for the usual KdV system. Following suitable gauge-fixing, it has been found that the quasi-conservation condition is satisfied and an…

Mathematical Physics · Physics 2017-05-01 Kumar Abhinav , Partha Guha
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