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math-ph2019
On some integral operators appearing in scattering theory, and their resolutions
S. Richard, T. Umeda
We discuss a few integral operators and provide expressions for them in terms of smooth functions of some natural self-adjoint operators. These operators appear in the context of s…
math-ph2019★ 1 cited
Spectral theory of first-order systems: from crystals to Dirac operators
Matania Ben-Artzi, Tomio Umeda
Let $$L_0=\suml_{j=1}^nM_j^0D_j+M_0^0,\,\,\,\,D_j=\frac{1}{i}\frac{\pa}{\paxj}, \quad x\in\Rn,$$ be a constant coefficient first-order partial differential system, where the matric…