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Browsing Mathematics by Title

Ramm, Alexander G.
(2010)

Cheng, Guozheng; Fang, Xiang
(2012)
In this paper we prove that an operator with the cellular indecomposable property has no singular points in the semiFredholm domain. Besides its own interests, this fills a gap in [3]. Our proof relies on the 4 × 4 matrix ...

Ramm, Alexander G.; Galstian, Anahit
(2003)

Ramm, Alexander G.; Smirnova, Alexandra B.
(2005)

Yetter, David
(2009)
We adapt the work of Power to describe general, notnecessarily composable, notnecessarily commutative 2categorical pasting diagrams and their composable and commutative parts. We provide a deformation theory for pasting ...

Shrestha, Tej; Yetter, David
(2014)
We continue the development of the infinitesimal deformation theory of pasting diagrams of klinear categories begun in TAC, Vol 22, #2. In that article the standard result that all obstructions are cocycles was established ...

Ramm, Alexander G.
(2004)
Inverse scattering and spectral onedimensional problems are discussed systematically in a selfcontained way. Many novel results due to the author are presented. The classical results are often
presented in a new way. ...

Ramm, Alexander G.
(2012)

Ramm, Alexander G.
(2011)

Ramm, Alexander G.
(2009)
The main results of this paper are:
1) a proof that a necessary condition for 1 to be an eigenvalue of the Smatrix
is real analyticity of the boundary of the obstacle,
2) a short proof of the conclusion stating that ...

Ramm, Alexander G.
(2012)

Ramm, Alexander G.
(2009)

Ramm, Alexander G.
(American Mathematical Society, 2000)

Ramm, Alexander G.
(1999)
Property C, that is, completeness of the set of products of some solutions to SturmLiouville equations is proved. Several uniqueness theorems for various inverse scattering problems are obtained in a very simple way with ...

Ramm, Alexander G.
(Elsevier, 2014)
The inverse scattering problem on halfaxis, in other words, in the
spherically symmetric case, consists of finding the unknown potential
from a suitable class from the scattering data S. The other problem of
practical ...

Alpay, Daniel; Jorgensen, Palle; Volok, Dan
(2014)
We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing kernels are characterized in terms of conditionally negative functions.

Ramm, Alexander G.
(1984)
From the scattering data one finds the support function or the principal curvatures of the surface of a reflecting obstacle. From either of these data the surface is effectively reconstructed.

Ramm, Alexander G.
(1984)
It is proved that any potential of a single layer v is identically equal to a potential of a double layer w in the bounded domain, D, and a necessary and sufficient condition for v≡w in Ω=R³/D, the exterior domain, is given.

Ramm, Alexander G.
(Science Publishing Corporation, 2015)
A simple proof is given for the explicit formula which allows one to recover a C2 – smooth vector field A=A(x) in R3, decaying at infinity, from the knowledge of its ∇×A and ∇⋅A. The representation of A as a sum of the ...

Ramm, Alexander G.
(World Scientific, 2011)
Manybody quantummechanical scattering problem is solved asymptotically when
the size of the scatterers (inhomogeneities) tends to zero and their number tends to
infinity.
A method is given for calculation of the number ...