Author: Arthur Erdelyi
Publisher: Courier Corporation
ISBN: 0486316327
Category : Mathematics
Languages : en
Pages : 114
Book Description
Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
Operational Calculus and Generalized Functions
Author: Arthur Erdelyi
Publisher: Courier Corporation
ISBN: 0486316327
Category : Mathematics
Languages : en
Pages : 114
Book Description
Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
Publisher: Courier Corporation
ISBN: 0486316327
Category : Mathematics
Languages : en
Pages : 114
Book Description
Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
Operational Calculus and Generalized Functions
Generalized Functions and Operational Calculus
Author: I. Dimovski
Publisher:
ISBN:
Category : Calculus, Operational
Languages : en
Pages : 226
Book Description
Publisher:
ISBN:
Category : Calculus, Operational
Languages : en
Pages : 226
Book Description
Operational Calculus and Generalized Functions
Methods of the Theory of Generalized Functions
Author: V. S. Vladimirov
Publisher: CRC Press
ISBN: 9780415273565
Category : Mathematics
Languages : en
Pages : 332
Book Description
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.
Publisher: CRC Press
ISBN: 9780415273565
Category : Mathematics
Languages : en
Pages : 332
Book Description
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.
Integral Transformations, Operational Calculus, and Generalized Functions
Author: R. G. Buschman
Publisher:
ISBN: 9781461312840
Category :
Languages : en
Pages : 256
Book Description
Publisher:
ISBN: 9781461312840
Category :
Languages : en
Pages : 256
Book Description
Operational Calculus and Generalized Functions
Author: Arthur Erdelyi
Publisher: Courier Corporation
ISBN: 0486497127
Category : Mathematics
Languages : en
Pages : 114
Book Description
"Based on a math course for advanced undergraduates and graduate students at Cal Tech, this brief monograph requires a background in advanced calculus. Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators, and problems in partial differential equations. Includes solutions. 1962 edition"--
Publisher: Courier Corporation
ISBN: 0486497127
Category : Mathematics
Languages : en
Pages : 114
Book Description
"Based on a math course for advanced undergraduates and graduate students at Cal Tech, this brief monograph requires a background in advanced calculus. Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators, and problems in partial differential equations. Includes solutions. 1962 edition"--
Operational Calculus and Related Topics
Author: A. P. Prudnikov
Publisher: CRC Press
ISBN: 1420011499
Category : Mathematics
Languages : en
Pages : 420
Book Description
Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan
Publisher: CRC Press
ISBN: 1420011499
Category : Mathematics
Languages : en
Pages : 420
Book Description
Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan
Integral Transformations, Operational Calculus, and Generalized Functions
Author: R.G. Buschman
Publisher: Springer
ISBN: 9781461285489
Category : Mathematics
Languages : en
Pages : 240
Book Description
It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".
Publisher: Springer
ISBN: 9781461285489
Category : Mathematics
Languages : en
Pages : 240
Book Description
It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".
GENERALIZED FUNCTIONS AND OPERATIONAL CALCULUS
Author: Conference on Generalized Functions and Operational Calculus (1975, Varna)
Publisher:
ISBN:
Category :
Languages : en
Pages : 216
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 216
Book Description