Related papers: A noncommutative Bishop peak interpolation-set the…

A reinterpretation of noncommutativity as a mapping of paths is proposed at the level of quantum mechanics.

We determine the non-compact form of Vishik's Elementary Discrete Invariant for quadrics.

An error bound for Gaussian Interpolation which is better than the current exponential-type error bound is presented.

A unified version of Machado-Bishop theorem in weighted spaces is given. A number of applications illustrate its importance.

We prove Ehrhard's inequality using interpolation along the Ornstein-Uhlenbeck semi-group. We also provide an improved Jensen inequality for Gaussian variables that might be of independent interest.

We use representation theory of the symmetric group S_n to prove Poisson limit theorems for the distribution of fixed points for three types of non-uniform permutations. First, we give results for the commutator of g and x where g and x are…

We propose a proof of the Lagrange Interpolation Formula based on the Chinese Remainder Theorem for arbitrary rings. Even such relationships are known, we think that our viewpoint is worth being published.

This paper presents a bicomplex version of the Spectral Decomposition Theorem on infinite dimensional bicomplex Hilbert spaces. In the process, the ideas of bounded linear operators, orthogonal complements and compact operators on bicomplex…

A vector variational principle is proved.

We prove the Aharoni Berger Conjecture

Assigning an intrinsic constant dipole moment to any field, we present a new kind of associative star product, the dipole star product, which was first introduced in [hep-th/0008030]. We develop the mathematics necessary to study the…

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

Simple argument in favour of unitarity, to all orders, of space-like noncommutative theory is given.

We exhibit a non-constructive proof in which anti-automorphisms are not valuation-preserving and hence non-isometric

In this article we generalize Cobham theorem to a large class of substitutions including non primitive and non constant length substitutions.

We discuss the renormalization properties of noncommutative non-gauge supersymmetric field theories.

We prove a noncommutative $(p,p)$-Poincar\'e inequality for trace-symmetric quantum Markov semigroups on tracial von Neumann algebras, assuming only the existence of a spectral gap. Extending semi-commutative results of Huang and Tropp, our…

The binomial interpolated transform of a sequence is a generalization of the well-known binomial transform. We examine a Pascal-like triangle, on which a binomial interpolated transform works between the left and right diagonals, focusing…

We investigate the integrability of the non-commutative leapfrog map in this paper. Firstly, we derive the explicit formula for the non-commutative leapfrog map and corresponding discrete zero-curvature equation by employing the concept of…

We show that there is a special bijection between the indecomposable summands of the two modules which form a basic support $\tau$--tilting pair and the indecomposable summands of the two modules which form another basic support…