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Malamud","submitted_at":"2015-04-20T07:22:52Z","abstract_excerpt":"The paper is concerned with the Riesz basis property of a boundary value problem associated in $L^2[0,1] \\otimes \\mathbb{C}^2$ with the following $2 \\times 2$ Dirac type equation $$ L y = -i B^{-1} y' + Q(x) y = \\lambda y, \\quad B = \\begin{pmatrix} b_1 & 0 \\\\ 0 & b_2 \\end{pmatrix}, \\quad y = \\begin{pmatrix} y_1 \\\\ y_2 \\end{pmatrix}, \\quad (1) $$ with a summable potential matrix $Q \\in L^1[0,1] \\otimes \\mathbb{C}^{2 \\times 2}$ and $b_1 < 0 < b_2$. If $b_2 = -b_1 =1$ this equation is equivalent to one dimensional Dirac equation. 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Lunyov, Mark M. Malamud","submitted_at":"2015-04-20T07:22:52Z","abstract_excerpt":"The paper is concerned with the Riesz basis property of a boundary value problem associated in $L^2[0,1] \\otimes \\mathbb{C}^2$ with the following $2 \\times 2$ Dirac type equation $$ L y = -i B^{-1} y' + Q(x) y = \\lambda y, \\quad B = \\begin{pmatrix} b_1 & 0 \\\\ 0 & b_2 \\end{pmatrix}, \\quad y = \\begin{pmatrix} y_1 \\\\ y_2 \\end{pmatrix}, \\quad (1) $$ with a summable potential matrix $Q \\in L^1[0,1] \\otimes \\mathbb{C}^{2 \\times 2}$ and $b_1 < 0 < b_2$. If $b_2 = -b_1 =1$ this equation is equivalent to one dimensional Dirac equation. 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