語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Integral Equations with Difference K...
~
Sakhnovich, Lev A.
Integral Equations with Difference Kernels on Finite Intervals = Second Edition, Revised and Extended /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Integral Equations with Difference Kernels on Finite Intervals/ by Lev A. Sakhnovich.
其他題名:
Second Edition, Revised and Extended /
作者:
Sakhnovich, Lev A.
面頁冊數:
XVIII, 226 p. 2 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Integral equations. -
電子資源:
https://doi.org/10.1007/978-3-319-16489-2
ISBN:
9783319164892
Integral Equations with Difference Kernels on Finite Intervals = Second Edition, Revised and Extended /
Sakhnovich, Lev A.
Integral Equations with Difference Kernels on Finite Intervals
Second Edition, Revised and Extended /[electronic resource] :by Lev A. Sakhnovich. - 2nd ed. 2015. - XVIII, 226 p. 2 illus.online resource. - Operator Theory: Advances and Applications,840255-0156 ;. - Operator Theory: Advances and Applications,246.
Preface to the second edition -- Introduction to the first edition -- 1.Invertible Operator with a Difference Kernel -- 2.Equations of the First Kind with a Difference Kernel -- 3.Examples and Applications -- 4.Eigensubspaces and Fourier Transform -- 5.Integral Operators with W-Difference Kernels -- 6.Problems of Communication Theory -- 7.Levy Processes: Convolution-Type Form of the Infinitesimal Generator -- 8.On the Probability that the Levy Process (Class II) Remains within the Given Domain -- 9.Triangular Factorization and Cauchy Type Levy Processes -- 10.Levy Processes with Summable Levy Measures, Long Time Behavior -- 11.Open Problems -- Commentaries and Remarks -- Bibliography -- Glossary -- Index.
This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method of operator identities. This method is also actively employed in inverse spectral problems, operator factorization and nonlinear integral equations. Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M. Kac problems on stable processes. In this second edition these results are extensively generalized and include the case of all Levy processes. We present the convolution expression for the well-known Ito formula of the generator operator, a convolution expression that has proven to be fruitful. Furthermore we have added a new chapter on triangular representation, which is closely connected with previous results and includes a new important class of operators with non-trivial invariant subspaces. Numerous formulations and proofs have now been improved, and the bibliography has been updated to reflect more recent additions to the body of literature.
ISBN: 9783319164892
Standard No.: 10.1007/978-3-319-16489-2doiSubjects--Topical Terms:
527971
Integral equations.
LC Class. No.: QA431
Dewey Class. No.: 515.45
Integral Equations with Difference Kernels on Finite Intervals = Second Edition, Revised and Extended /
LDR
:03571nam a22004095i 4500
001
966893
003
DE-He213
005
20200706053305.0
007
cr nn 008mamaa
008
201211s2015 gw | s |||| 0|eng d
020
$a
9783319164892
$9
978-3-319-16489-2
024
7
$a
10.1007/978-3-319-16489-2
$2
doi
035
$a
978-3-319-16489-2
050
4
$a
QA431
072
7
$a
PBKL
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBKL
$2
thema
082
0 4
$a
515.45
$2
23
100
1
$a
Sakhnovich, Lev A.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
884197
245
1 0
$a
Integral Equations with Difference Kernels on Finite Intervals
$h
[electronic resource] :
$b
Second Edition, Revised and Extended /
$c
by Lev A. Sakhnovich.
250
$a
2nd ed. 2015.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhäuser,
$c
2015.
300
$a
XVIII, 226 p. 2 illus.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Operator Theory: Advances and Applications,
$x
0255-0156 ;
$v
84
505
0
$a
Preface to the second edition -- Introduction to the first edition -- 1.Invertible Operator with a Difference Kernel -- 2.Equations of the First Kind with a Difference Kernel -- 3.Examples and Applications -- 4.Eigensubspaces and Fourier Transform -- 5.Integral Operators with W-Difference Kernels -- 6.Problems of Communication Theory -- 7.Levy Processes: Convolution-Type Form of the Infinitesimal Generator -- 8.On the Probability that the Levy Process (Class II) Remains within the Given Domain -- 9.Triangular Factorization and Cauchy Type Levy Processes -- 10.Levy Processes with Summable Levy Measures, Long Time Behavior -- 11.Open Problems -- Commentaries and Remarks -- Bibliography -- Glossary -- Index.
520
$a
This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method of operator identities. This method is also actively employed in inverse spectral problems, operator factorization and nonlinear integral equations. Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M. Kac problems on stable processes. In this second edition these results are extensively generalized and include the case of all Levy processes. We present the convolution expression for the well-known Ito formula of the generator operator, a convolution expression that has proven to be fruitful. Furthermore we have added a new chapter on triangular representation, which is closely connected with previous results and includes a new important class of operators with non-trivial invariant subspaces. Numerous formulations and proofs have now been improved, and the bibliography has been updated to reflect more recent additions to the body of literature.
650
0
$a
Integral equations.
$3
527971
650
0
$a
Operator theory.
$3
527910
650
0
$a
Probabilities.
$3
527847
650
1 4
$a
Integral Equations.
$3
672359
650
2 4
$a
Operator Theory.
$3
672127
650
2 4
$a
Probability Theory and Stochastic Processes.
$3
593945
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319164908
776
0 8
$i
Printed edition:
$z
9783319164885
776
0 8
$i
Printed edition:
$z
9783319307633
830
0
$a
Operator Theory: Advances and Applications,
$x
0255-0156 ;
$v
246
$3
1255135
856
4 0
$u
https://doi.org/10.1007/978-3-319-16489-2
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入