Integral equations with difference kernels on finite intervals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Birkhäuser Springer
2015
|
| Edition: | 2., revised and extended ed. |
| Series: | Operator theory: advances and applications
84 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XVIII, 226 S. 2 illus) |
| ISBN: | 9783319164892 |
| ISSN: | 0255-0156 |
| DOI: | 10.1007/978-3-319-16489-2 |
Staff View
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Record in the Search Index
| _version_ | 1804174754867838976 |
|---|---|
| adam_text | INTEGRAL EQUATIONS WITH DIFFERENCE KERNELS ON FINITE INTERVALS
/ SAKHNOVICH, LEV A.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INTEGRAL EQUATIONS WITH DIFFERENCE KERNELS ON FINITE INTERVALS
/ SAKHNOVICH, LEV A.
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Sachnovič, Lev A. 1932- |
| author_GND | (DE-588)121081265 |
| author_facet | Sachnovič, Lev A. 1932- |
| author_role | aut |
| author_sort | Sachnovič, Lev A. 1932- |
| author_variant | l a s la las |
| building | Verbundindex |
| bvnumber | BV042592164 |
| classification_rvk | SK 640 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)910945227 (DE-599)BVBBV042592164 |
| dewey-full | 515.45 515/.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.45 515/.45 |
| dewey-search | 515.45 515/.45 |
| dewey-sort | 3515.45 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-16489-2 |
| edition | 2., revised and extended ed. |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:05:25Z |
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| isbn | 9783319164892 |
| issn | 0255-0156 |
| language | English |
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| series2 | Operator theory: advances and applications |
| spelling | Sachnovič, Lev A. 1932- Verfasser (DE-588)121081265 aut Integral equations with difference kernels on finite intervals Lev A. Sakhnovich 2., revised and extended ed. Cham [u.a.] Birkhäuser Springer 2015 1 Online-Ressource (XVIII, 226 S. 2 illus) txt rdacontent c rdamedia cr rdacarrier Operator theory: advances and applications 84 0255-0156 Mathematics Integral equations Operator theory Distribution (Probability theory) Integral Equations Operator Theory Probability Theory and Stochastic Processes Integralgleichung - Differenzkern Mathematik Intervallalgebra (DE-588)4139152-4 gnd rswk-swf Differenzkern (DE-588)4403440-4 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s Differenzkern (DE-588)4403440-4 s DE-604 Intervallalgebra (DE-588)4139152-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-16488-5 Operator Theory Advances and Applications 84 (DE-604)BV035421307 84 https://doi.org/10.1007/978-3-319-16489-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025376&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025376&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sachnovič, Lev A. 1932- Integral equations with difference kernels on finite intervals Mathematics Integral equations Operator theory Distribution (Probability theory) Integral Equations Operator Theory Probability Theory and Stochastic Processes Integralgleichung - Differenzkern Mathematik Intervallalgebra (DE-588)4139152-4 gnd Differenzkern (DE-588)4403440-4 gnd Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4139152-4 (DE-588)4403440-4 (DE-588)4027229-1 |
| title | Integral equations with difference kernels on finite intervals |
| title_auth | Integral equations with difference kernels on finite intervals |
| title_exact_search | Integral equations with difference kernels on finite intervals |
| title_full | Integral equations with difference kernels on finite intervals Lev A. Sakhnovich |
| title_fullStr | Integral equations with difference kernels on finite intervals Lev A. Sakhnovich |
| title_full_unstemmed | Integral equations with difference kernels on finite intervals Lev A. Sakhnovich |
| title_short | Integral equations with difference kernels on finite intervals |
| title_sort | integral equations with difference kernels on finite intervals |
| topic | Mathematics Integral equations Operator theory Distribution (Probability theory) Integral Equations Operator Theory Probability Theory and Stochastic Processes Integralgleichung - Differenzkern Mathematik Intervallalgebra (DE-588)4139152-4 gnd Differenzkern (DE-588)4403440-4 gnd Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Mathematics Integral equations Operator theory Distribution (Probability theory) Integral Equations Operator Theory Probability Theory and Stochastic Processes Integralgleichung - Differenzkern Mathematik Intervallalgebra Differenzkern Integralgleichung |
| url | https://doi.org/10.1007/978-3-319-16489-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025376&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025376&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421307 |
| work_keys_str_mv | AT sachnovicleva integralequationswithdifferencekernelsonfiniteintervals |