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double-well-like potentials [ 14 , 15 ], one can formulate a general formalism [ 21 ] which allows to.. write down higher-order formulas for the complex resonance energies. In
In this section we establish the inclusion and the density of S ( R d ) in BD p,q β,k and we prove an interpolation formula for the Besov–Dunkl spaces by the real method.. Finally
In this spirit, the Hilbert transform, a basic tool in signal processing and in Fourier and harmonic analysis as well, may be defined by means of partial derivatives, so that, since
Its underlying first order structure is a contact structure, so that we have solved the Thullen and Hartogs extension problems for normal contact projective connections by
In the quantum brachistochrone problem, finding the shortest possible time requires only the solution of the two-dimensional problem, namely, finding the optimal time evolution for
These quasi exactly solvable difference equa- tions are deformations of the well-known exactly solvable difference equations of the Meixner– Pollaczek, continuous Hahn, continuous
First, the characteristic polynomials of Manin matrices are key objects to obtain the commutative family of the (elliptic) gl n Gaudin model by the degeneration. Then the Manin
As a corollary thereof, we obtain an integral equation for the modified Laplace transform of the Virgin Island Model in Lemma 5.3 which is the key equation for our proof of
