國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Transmutation operators and applications

Kravchenko, Vladislav V.

Transmutation operators and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Transmutation operators and applicationsedited by Vladislav V. Kravchenko, Sergei M. Sitnik.
其他作者:	Kravchenko, Vladislav V.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xvii, 686 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Transmutation operators.
電子資源:	https://doi.org/10.1007/978-3-030-35914-0
ISBN:	9783030359140$q(electronic bk.)

Transmutation operators and applications
Transmutation operators and applications[electronic resource] /edited by Vladislav V. Kravchenko, Sergei M. Sitnik. - Cham :Springer International Publishing :2020. - xvii, 686 p. :ill., digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

Part I: Transmutations, Integral Equations and Special Functions -- Some Recent Developments in the Transmutation Operator Approach -- Transmutation Operators and Their Applications -- Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications -- Second Type Neumann Series Related to Nicholson's and to Dixon-Ferrar Formula -- On Some Generalizations of the Properties of the Multidimensional Generalized Erdelyi-Kober Operators and Their Applications -- Alternative Approach to Miller-Paris Transformations and Their Extensions -- Transmutation Operators For Ordinary Dunkl-Darboux Operators -- Theorems on Restriction of Fourier-Bessel and Multidimensional Bessel Transforms to Spherical Surfaces -- Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis -- Polynomial Quantization on Line Bundles -- Fourier-Bessel Transforms of Measures and Qualitative Properties of Solutions of Singular Differential Equations -- Inversion of Hyperbolic B-Potentials -- One-Dimensional and Multi-Dimensional Integral Transforms of Buschman-Erdelyi Type with Legendre Functions in Kernels -- Distributions, Non-smooth Manifolds, Transmutations and Boundary Value Problems -- Part II: Transmutations in ODEs, Direct and Inverse Problems -- On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators -- Expansion in Terms of Appropriate Functions and Transmutations -- Transmutation Operators as a Solvability Concept of Abstract Singular Equations -- On the Bessel-Wright Operator and Transmutation with Applications -- On a Method of Solving Integral Equation of Carleman Type on the Pair of Segments -- Transmutation Operators Boundary Value Problems -- Solution of Inverse Problems for Differential Operators with Delay -- Part III: Transmutations for Partial and Fractional Differential Equations -- Transmutations of the Composed Erdelyi-Kober Fractional Operators and Their Applications -- Distributed Order Equations in Banach Spaces with Sectorial Operators -- Transformation Operators for Fractional Order Ordinary Differential Equations and Their applications -- Strong Solutions of Semilinear Equations with Lower Fractional Derivatives -- Mean Value Theorems and Properties of Solutions of Linear Differential Equations -- Transmutations for Multi-Term Fractional Operators -- Fractional Bessel Integrals and Derivatives on Semi-axes -- The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay -- Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient.

Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.

ISBN: 9783030359140$q(electronic bk.)

Standard No.: 10.1007/978-3-030-35914-0doiSubjects--Topical Terms:

666733
Transmutation operators.

LC Class. No.: QA329 / .T736 2020

Dewey Class. No.: 515.724

Transmutation operators and applications
LDR:04414nmm a2200337 a 4500 001 572082
003 DE-He213
005 20200817171914.0
006 m d
007 cr nn 008maaau
008 200922s2020 sz s 0 eng d
020 $a 9783030359140$q(electronic bk.)
020 $a 9783030359133$q(paper)
024 7 $a 10.1007/978-3-030-35914-0 $2 doi
035 $a 978-3-030-35914-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329 $b .T736 2020
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.724 $2 23
090 $a QA329 $b .T772 2020
245 0 0 $a Transmutation operators and applications $h [electronic resource] / $c edited by Vladislav V. Kravchenko, Sergei M. Sitnik.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a xvii, 686 p. : $b ill., digital ; $c 24 cm.
490 1 $a Trends in mathematics, $x 2297-0215
505 0 $a Part I: Transmutations, Integral Equations and Special Functions -- Some Recent Developments in the Transmutation Operator Approach -- Transmutation Operators and Their Applications -- Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications -- Second Type Neumann Series Related to Nicholson's and to Dixon-Ferrar Formula -- On Some Generalizations of the Properties of the Multidimensional Generalized Erdelyi-Kober Operators and Their Applications -- Alternative Approach to Miller-Paris Transformations and Their Extensions -- Transmutation Operators For Ordinary Dunkl-Darboux Operators -- Theorems on Restriction of Fourier-Bessel and Multidimensional Bessel Transforms to Spherical Surfaces -- Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis -- Polynomial Quantization on Line Bundles -- Fourier-Bessel Transforms of Measures and Qualitative Properties of Solutions of Singular Differential Equations -- Inversion of Hyperbolic B-Potentials -- One-Dimensional and Multi-Dimensional Integral Transforms of Buschman-Erdelyi Type with Legendre Functions in Kernels -- Distributions, Non-smooth Manifolds, Transmutations and Boundary Value Problems -- Part II: Transmutations in ODEs, Direct and Inverse Problems -- On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators -- Expansion in Terms of Appropriate Functions and Transmutations -- Transmutation Operators as a Solvability Concept of Abstract Singular Equations -- On the Bessel-Wright Operator and Transmutation with Applications -- On a Method of Solving Integral Equation of Carleman Type on the Pair of Segments -- Transmutation Operators Boundary Value Problems -- Solution of Inverse Problems for Differential Operators with Delay -- Part III: Transmutations for Partial and Fractional Differential Equations -- Transmutations of the Composed Erdelyi-Kober Fractional Operators and Their Applications -- Distributed Order Equations in Banach Spaces with Sectorial Operators -- Transformation Operators for Fractional Order Ordinary Differential Equations and Their applications -- Strong Solutions of Semilinear Equations with Lower Fractional Derivatives -- Mean Value Theorems and Properties of Solutions of Linear Differential Equations -- Transmutations for Multi-Term Fractional Operators -- Fractional Bessel Integrals and Derivatives on Semi-axes -- The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay -- Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient.
520 $a Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
650 0 $a Transmutation operators. $3 666733
650 1 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Integral Transforms, Operational Calculus. $3 275781
650 2 4 $a Real Functions. $3 273779
650 2 4 $a Potential Theory. $3 274599
700 1 $a Kravchenko, Vladislav V. $3 375794
700 1 $a Sitnik, Sergei M. $3 858978
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Trends in mathematics. $3 573146
856 4 0 $u https://doi.org/10.1007/978-3-030-35914-0
950 $a Mathematics and Statistics (Springer-11649)