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The edges terminating in a correspond to the generators, i.e., the south-west cor- ners of the respective Ferrers diagram, whereas the edges originating in a correspond to the

The Beurling-Bj ¨orck space S w , as defined in 2, consists of C ∞ functions such that the functions and their Fourier transform jointly with all their derivatives decay ultrarapidly

It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat

A variety of powerful methods, such as the inverse scattering method [1, 13], bilinear transforma- tion [7], tanh-sech method [10, 11], extended tanh method [5, 10], homogeneous

Since the boundary integral equation is Fredholm, the solvability theorem follows from the uniqueness theorem, which is ensured for the Neumann problem in the case of the

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

In the case of the Ariki–Koike algebra, that is, the Hecke algebra of the complex reflection group G(l, 1, n), they are Laurent polynomials whose factors determine when Specht

To derive a weak formulation of (1.1)–(1.8), we first assume that the functions v, p, θ and c are a classical solution of our problem. 33]) and substitute the Neumann boundary