000			03674nam a22004815i 4500
001			978-3-7643-8956-7
003			DE-He213
005			20140220084552.0
007			cr nn 008mamaa
008			110201s2010 sz | s |||| 0|eng d
020			_a9783764389567 _9978-3-7643-8956-7
024	7		_a10.1007/978-3-7643-8956-7 _2doi
050		4	_aQA329-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.724 _223
100	1		_aLerer, Leonid. _eeditor.
245	1	0	_aConvolution Equations and Singular Integral Operators _h[electronic resource] : _bSelected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik / _cedited by Leonid Lerer, Vadim Olshevsky, Ilya M. Spitkovsky.
264		1	_aBasel : _bBirkhäuser Basel, _c2010.
300			_a240p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aOperator Theory: Advances and Applications ; _v206
505	0		_aInversion of Finite Toeplitz Matrices -- Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra -- Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments -- The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials -- The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator -- The Spectrum of Singular Integral Operators in L p Spaces -- On an Algebra Generated by the Toeplitz Matrices in the Spaces h p -- On Singular Integral Equations with Unbounded Coefficients -- Singular Integral Equations with Continuous Coefficients on a Composed Contour -- On a Local Principle and Algebras Generated by Toeplitz Matrices -- The Symbol of Singular Integral Operators on a Composed Contour -- One-dimensional Singular Integral Operators with Shift -- Algebras of Singular Integral Operators with Shift.
520			_aThis volume contains English translations of 13 groundbreaking papers on Toeplitz matrices and Wiener-Hopf equations and other classes of discrete and continuous convolution operators and singular integral equations. The papers are both of theoretical and numerical interest. In particular, the papers examine fast algorithms for inversion of these operators, the theory of discrete and continuous resultants, inversion via factorization, and symbol construction. Originally the papers were written in Russian more than thirty years ago; their English translation is published here for the first time. These papers solved difficult problems and opened new venues in the above-mentioned areas. They are still frequently quoted, and moreover, they exert a continuing influence on numerical analysis and other areas of Pure and Applied Mathematics and Engineering. The book is addressed to a wide audience of mathematicians and engineers, from graduate students to researchers, whose interests lie in the above-mentioned areas.
650		0	_aMathematics.
650		0	_aIntegral equations.
650		0	_aOperator theory.
650	1	4	_aMathematics.
650	2	4	_aOperator Theory.
650	2	4	_aIntegral Equations.
700	1		_aOlshevsky, Vadim. _eeditor.
700	1		_aSpitkovsky, Ilya M. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783764389550
830		0	_aOperator Theory: Advances and Applications ; _v206
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-7643-8956-7
912			_aZDB-2-SMA
999			_c112986 _d112986