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In this paper we generalize notions of iterated integral with regard to an unpredictable process. We establish a formula of integration by parts, the existence of a continuous modification and give an expression of the increasing process.

Probability · Mathematics 2012-02-14 Ludovic Valet

Generalizing work of Marin [12], we construct in a unified way all the "braids and ties'' algebras available in literature and new ones.

Rings and Algebras · Mathematics 2025-11-26 Riccardo Fasano , Domenico Fiorenza , Paolo Papi

In this paper we generalize notions of iterated integral with regard to an unpredictable process. We establish a formula of integration by parts, the existence of a continuous modification and give an expression of the increasing process.

Probability · Mathematics 2012-02-21 Ludovic Valet

In this paper, we propose a generalization of a congruence due to Carlitz.

Number Theory · Mathematics 2007-05-23 Hao Pan

The paper gives a short account of the contents of "Regular Algebraic K-Theory For Groups" by the author and its connections with other homology and K-theories.

K-Theory and Homology · Mathematics 2014-02-05 Ulrich Haag

We develop a theory of reduction for generalized Kahler and hyper-Kahler structures which uses the generalized Riemannian metric in an essential way, and which is not described with reference solely to a single generalized complex…

Differential Geometry · Mathematics 2023-05-26 Henrique Bursztyn , Gil R. Cavalcanti , Marco Gualtieri

In this paper we introduce I^K-convergence which is a common generalization of the I^K-convergence of sequences, double sequences and nets. We show that many results that were shown before for these special cases are true for the…

General Topology · Mathematics 2011-09-14 Martin Mačaj , Martin Sleziak

In an earlier paper, the authors introduced partial translation algebras as a generalisation of group C*-algebras. Here we establish an extension of partial translation algebras, which may be viewed as an excision theorem in this context.…

Operator Algebras · Mathematics 2013-04-29 Jacek Brodzki , Graham A. Niblo , Nick Wright

Inspired by the work of Lorenzen on the theory of preordered groups in the forties and fifties, we define regular entailment relations and show a crucial theorem for this structure. We also describe equivariant systems of ideals {\`a} la…

Logic · Mathematics 2020-07-27 Thierry Coquand , Henri Lombardi , Stefan Neuwirth

In this short note, we aim to discuss some summations due to Ramanujan, their generalizations and some allied series

Complex Variables · Mathematics 2013-01-21 A. K. Rathie , R. B. Paris

In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.

Differential Geometry · Mathematics 2011-04-08 Kefeng Liu , Sheng Rao

Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail,…

Differential Geometry · Mathematics 2018-05-24 Kyle Wright

We generalise a result of D. J. Collins on intersections of conjugates of Magnus subgroups of one-relator groups to the context of one-relator products of locally indicable groups.

Group Theory · Mathematics 2025-07-14 James Howie , Hamish Short

We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original…

Mathematical Physics · Physics 2025-05-13 Alexander Alexandrov , Boris Bychkov , Petr Dunin-Barkowski , Maxim Kazarian , Sergey Shadrin

The purpose of this paper is to generalize a very famous result on products of normal operators, due to I. Kaplansky. The context of generalization is that of bounded hyponormal and unbounded normal operators on complex separable Hilbert…

Functional Analysis · Mathematics 2014-03-04 Abdelkader Benali , Mohammed Hichem Mortad

In this paper, we give a general definition of Kahler angle. There are many results about Kahler angle one can try to generalize to the general case.

Differential Geometry · Mathematics 2023-03-31 Yongpin Zhu

Some personal thoughts on Sklar's theorem and copulas after reading the original paper (Sklar, 1959) in French.

Methodology · Statistics 2023-12-25 Gery Geenens

The main result is a generalization of Keller's recursion equation for finding a prime number given the previous primes. We also examine the convergence of the limit in Keller's equation and the convergence of the limit in the general…

Number Theory · Mathematics 2013-11-19 James Haley

We find a generalization of the Mordell integral and we also establish a set of properties for a generalization of the Mordell integral similar to those in the third author's PhD thesis.

Number Theory · Mathematics 2025-11-04 Dandan Chen , Rong Chen , Sander Zwegers

We give a new explicit construction for the simplicial group $K(A,n)$. We explain the topological interpretation and discuss some possible applications.

Algebraic Topology · Mathematics 2010-11-19 Mihai D. Staic
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