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math.CA2003
Inequalities for the transformation operators and applications
A. G. Ramm
Inequalities for the transformation operator kernel in terms of -function are given, and vice versa. These inequalities are applied to inverse scattering on half-line.…
math.CA2003
An essay on some problems of approximation theory
A. G. Ramm
Several questions of approximation theory are discussed: 1) can one approximate stably in norm given approximation $f_δ, \parallel f_δ- f \parallel_{L^\infty}…
math.CA2003
Analytical solution of a new class of integral equations
A. G. Ramm
Let , , , where the kernel satisfies the equation . Here and are formal differential operators of o…