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Convolution Operators and Factorization of Almost Periodic Matrix Functions
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Convolution Operators and Factorization of Almost Periodic Matrix Functions
ISBN: 9783034894579 bzw. 3034894570, in Deutsch, Birkhäuser, Taschenbuch, neu.
buecher.de GmbH & Co. KG, [1].
PThis book is an introduction to convolution operators with matrix-valued almost periodic or semi-almost periodic symbols.The basic tools for the treatment of the operators are Wiener-Hopf factorization and almost periodic factorization. These factorizations are systematically investigated and explicitly constructed for interesting concrete classes of matrix functions. The material covered by the book ranges from classical results through a first comprehensive presentation of the core of the theory of almost periodic factorization up to the latest achievements, such as the construction of factorizations by means of the Portuguese transformation and the solution of corona theorems.BRThe book is addressed to a wide audience in the mathematical and engineering sciences. It is accessible to readers with basic knowledge in functional, real, complex, and harmonic analysis, and it is of interest to everyone who has to deal with the factorization of operators or matrix functions./PSoftcover reprint of the original 1st ed. 2002. 2012. xi, 462 S. XI, 462 p. 235 mmVersandfertig in 3-5 Tagen, Softcover.
Convolution Operators and Factorization of Almost Periodic Matrix Functions (Hardcover)
ISBN: 9783764366728 bzw. 3764366729, in Deutsch, Birkenhäuser Verlag, Basel/Boston/Stuttgart, Schweiz, gebundenes Buch, neu, Erstausgabe.
Hardcover. This volume provides an introduction to convolution operators with matrix-valued almost periodic or semi-almost periodic symbols. The basic tools for the treatment of.Shipping may be from our UK, US or Australian warehouse depending on stock availability. This item is printed on demand. 462 pages. 0.844.
Convolution Operators and Factorization of Almost Periodic Matrix Functions
ISBN: 9783034894579 bzw. 3034894570, in Deutsch, Birkhäuser, Taschenbuch, neu.
buecher.de GmbH & Co. KG, [1].
Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (Ap)(x) = L: ak"kX. Moreover, a convolution operator on a finite interval is, in a sense, equivalent to a convolution operator on the half-line whose symbol is a 2 x 2 oscillating matrix function: consideration of the convolution operator with the symbol f(x) on the interval (0, A) leads to the convolution operator with the matrix symbol on the half-line (0,00). Notice that eVl(x) is oscillating even if f(x) is continu ous. We finally mention that convolution operators with oscillating symbols have properties that are not shared by operators with continuous or piecewise continu ous symbols.Softcover reprint of the original 1st ed. 2002. 2012. xi, 462 S. XI, 462 p. 235 mmVersandfertig in 3-5 Tagen, Softcover.
Convolution Operators and Factorization of Almost Periodic Matrix Functions
ISBN: 9783764366728 bzw. 3764366729, in Deutsch, Birkhäuser, gebundenes Buch, neu.
buecher.de GmbH & Co. KG, [1].
Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (Ap)(x) = L: ak"kX. Moreover, a convolution operator on a finite interval is, in a sense, equivalent to a convolution operator on the half-line whose symbol is a 2 x 2 oscillating matrix function: consideration of the convolution operator with the symbol f(x) on the interval (0, A) leads to the convolution operator with the matrix symbol on the half-line (0,00). Notice that eVl(x) is oscillating even if f(x) is continu ous. We finally mention that convolution operators with oscillating symbols have properties that are not shared by operators with continuous or piecewise continu ous symbols.2002. xi, 462 S. XI, 462 p. 235 mmVersandfertig in 3-5 Tagen, Hardcover.
Convolution Operators Factorization of Almost Periodic Matrix Functions (2015)
ISBN: 9783764366728 bzw. 3764366729, in Deutsch, SPRINGER VERLAG GMBH 01/06/2015, gebundenes Buch, neu.
New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. This item is printed on demand.
Convolution Operators Factorization of Almost Periodic Matrix Functions (2014)
ISBN: 9783034894579 bzw. 3034894570, in Deutsch, SPRINGER VERLAG GMBH 01/11/2014, Taschenbuch, neu.
New Book. This item is printed on demand. Shipped from US This item is printed on demand.
Convolution Operators and Factorization of Almost Periodic Matrix Functions (2012)
ISBN: 9783034894579 bzw. 3034894570, vermutlich in Englisch, Springer Basel, Taschenbuch, neu.
Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A, Taschenbuch, 23.10.2012.
Convolution Operators and Factorization of Almost Periodic Matrix Functions
ISBN: 9783764366728 bzw. 3764366729, vermutlich in Englisch, Springer Shop, gebundenes Buch, neu.
Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A, Hard cover.
Convolution Operators and Factorization of Almost Periodic Matrix Functions
ISBN: 9783034894579 bzw. 3034894570, vermutlich in Englisch, Springer Shop, Taschenbuch, neu.
Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A, Soft cover.
Convolution Operators and Factorization of Almost Periodic Matrix Functions
ISBN: 9783764366728 bzw. 3764366729, vermutlich in Englisch, Birkhäuser Basel, neu.
Albrecht Böttcher, Yuri I. Karlovich, Ilya M. Spitkovsky, Books, Science and Nature, Convolution Operators and Factorization of Almost Periodic Matrix Functions, Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A.