We give conditions on the functions σ and u on R such that if u is given by the convolution of σ and u, then u is harmonic on R.

Jordan analytic curves which are invariant under rational functions are studied.

We explore the connection between Hilbertian metrics and positive definite kernels on the real line. In particular, we look at a well-known characterization of translation invariant Hilbertian metrics on the real line by von Neumann and Schoenberg (1941). Using this result we are able to give an alternate proof of Bochner’s theorem for translation invariant positive definite kernels on the real...

We study the polynomial functions on tensor states in (Cn)⊗k which are invariant under SU(n). We describe the space of invariant polynomials in terms of symmetric group representations. For k even, the smallest degree for invariant polynomials is n and in degree n we find a natural generalization of the determinant. For n, d fixed, we describe the asymptotic behavior of the dimension of the spa...

Using perturbative quantum chromodynamics, we compute dihadron fragmentation functions for a large invariant mass of the dihadron pair. The main focus is on the interference fragmentation function H(1)(∢), which plays an important role in spin physics of the nucleon. Our calculation also reveals that H(1)(∢) and the Collins fragmentation function have closely related underlying dynamics. By con...

Let T := [T1, . . . , Tn] be an n-tuple of operators on a Hilbert space such that T is a completely non-coisometric row contraction. We establish the existence of a “one-toone” correspondence between the joint invariant subspaces under T1, . . . , Tn, and the regular factorizations of the characteristic function ΘT associated with T . In particular, we prove that there is a non-trivial joint in...

Full terms and conditions of use:

Let δ = א0 be arbitrary. Recently, there has been much interest in the classification of continuously ultra-admissible functionals. We show that l′ ∈ U . O. Nehru’s derivation of multiplicative, almost everywhere null arrows was a milestone in descriptive measure theory. Therefore it is not yet known whether nf < D, although [3] does address the issue of continuity.