119 citations
12 papers
Necessary and sufficient condition for compactness of the embedding operator
A. G. Ramm
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
Gravitational Radiation from Primordial Helical Turbulence
Tina Kahniashvili
In present talk I show that primordial helical turbulence produced during a first-order phase transition induces circularly polarized cosmological gravitational waves (GWs). The de…
The Fredholm index of a pair of commuting operators
Xiang Fang
This paper concerns Fredholm theory in several variables, and its applications to Hilbert spaces of analytic functions. One feature is the introduction of ideas from commutative al…
A bijection between certain non-crossing partitions and sequences
Rekha Natarajan
We present a bijection between non-crossing partitions of the set into blocks such that no block contains two consecutive integers, and the set of sequences $\{s_{i}…
Asymptotics of the quantum invariants for surgeries on the figure 8 knot
Jorgen Ellegaard Andersen, Soren Kold Hansen
We investigate the Reshetikhin--Turaev invariants associated to SU(2) for the 3-manifolds M obtained by doing any rational surgery along the figure 8 knot. In particular, we expres…
Classification of integrable clusters of classical Heisenberg spins
Marco Ameduri, Bogomil Gerganov, Richard A. Klemm
In this letter we present a general classification of integrable models of identical classical spins coupled via the isotropic Heisenberg Hamiltonian. Our constructive proof of int…