Quaternary binary trilinear forms

On Canonical Binary Trilinear Forms

On the Structure of Bounded Trilinear Forms

0. Introduction. In previous work CKP1], CKP2] the authors have initiated a study of Schatten-von Neumann classes of trilinear forms in Hilbert space. We believe however that, in order to progress further, it is necessary to gain a better understanding of the structure of bounded forms, and of compact ones. This is a rather intricate problem. Accordingly, in this paper we have collected various...

New constructions of quaternary bent functions

In this paper, a new construction of quaternary bent functions from quaternary quadratic forms over Galois rings of characteristic 4 is proposed. Based on this construction, several new classes of quaternary bent functions are obtained, and as a consequence, several new classes of quadratic binary bent and semi-bent functions in polynomial forms are derived. This work generalizes the recent wor...

Singular Values of Trilinear Forms

Let T : H1 H2 H3 ! C be a trilinear form where H1, H2, H3 are separable Hilbertspaces. In the hypothesis that at least two of the three spaces are nite dimensional weshow that the norm square = kTk2 is a root of a certain algebraic equation, usually ofvery high degree, which we baptize the milleniar equation, because it is an analogue ofthe secular equation in the bilinear c...

2-universal Positive Definite Integral Quinary Diagonal Quadratic Forms

As a generalization of the famous four square theorem of Lagrange, Ramanujan found all positive definite integral quaternary diagonal quadratic forms that represent all positive integers. In this paper, we find all positive definite integral quinary diagonal quadratic forms that represent all positive definite integral binary quadratic forms. §