The Lévy Laplacian:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2005
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge tracts in mathematics
166 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 153 S. |
| ISBN: | 0521846226 9780521846226 |
Internformat
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Datensatz im Suchindex
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| adam_text | THE LEVY LAPLACIAN M. N. FELLER CAMBRIDGE UNIVERSITY PRESS CONTENTS
INTRODUCTION PAGE 1 1 THE LEVY LAPLACIAN 05 1.1 DEFINITION OF THE
INFINITE-DIMENSIONAL LAPLACIAN 05 1.2 EXAMPLES OF LAPLACIANS FOR
FUNCTIONS ON INFINITE- DIMENSIONAL SPACES 09 1.3 GAUSSIAN MEASURES 13 2
LEVY-LAPLACE OPERATORS 22 2.1 INFINITE-DIMENSIONAL ORTHOGONAL
POLYNOMIALS 23 2.2 , THE SECOND-ORDER DIFFERENTIAL OPERATORS GENERATED
BY THE LEVY LAPLACIAN 30 2.3 DIFFERENTIAL OPERATORS OF ARBITRARY ORDER
GENERATED BY THE LEVY LAPLACIAN 33 3 SYMMETRIC LEVY-LAPLACE OPERATOR 40
3.1 THE SYMMETRIZED LEVY LAPLACIAN ON FUNCTIONS FROM THE DOMAIN OF
DEFINITION OF THE LEVY-LAPLACE OPERATOR 40 3.2 THE LEVY LAPLACIAN ON
FUNCTIONS FROM THE DOMAIN OF DEFINITION OF THE SYMMETRIZED LEVY-LAPLACE
OPERATOR 44 3.3 SELF-ADJOINTNESS OF THE NON-SYMMETRIZED LEVY-LAPLACE
OPERATOR 48 4 HARMONIC FUNCTIONS OF INFINITELY MANY VARIABLES 53 4.1
ARBITRARY SECOND-ORDER DERIVATIVES 54 4.2 ORTHOGONAL AND STOCHASTICALLY
INDEPENDENT SECOND-ORDER DERIVATIVES 59 4.3 TRANSLATIONALLY NON-POSITIVE
CASE 64 VI CONTENTS 5 LINEAR ELLIPTIC AND PARABOLIC EQUATIONS WITH LEVY
LAPLACIANS 68 5.1 THE DIRICHLET PROBLEM FOR THE LEVY-LAPLACE AND
LEVY-POISSON EQUATIONS 68 5.2 THE DIRICHLET PROBLEM FOR THE
LEVY-SCHRODINGER STATIONARY EQUATION 84 5.3 THE RIQUIER PROBLEM FOR THE
EQUATION WITH ITERATED LEVY LAPLACIANS 86 5.4 THE CAUCHY PROBLEM FOR THE
HEAT EQUATION 88 6 QUASILINEAR AND NONLINEAR ELLIPTIC EQUATIONS WITH
LEVY LAPLACIANS 92 6.1 THE DIRICHLET PROBLEM FOR THE EQUATION A L U(X) =
F(U(X)) 92 6.2 THE DIRICHLET PROBLEM FOR THE EQUATION F(U(X), A L U(X))
= F{X) 94 6.3 THE RIQUIER PROBLEM FOR THE EQUATION A 2L U(X) = F(U(X))
96 6.4 THE RIQUIER PROBLEM FOR THE EQUATION F(U(X),A 2L U(X)) = A L U(X)
99 6.5 THE RIQUIER PROBLEM FOR THE EQUATION F(U(X),A L U(X),A 2L U(X)) =
0 103 7 NONLINEAR PARABOLIC EQUATIONS WITH LEVY LAPLACIANS 108 7.1 THE
CAUCHY PROBLEM FOR THE EQUATIONS DU(T, X)/DT = F(A L U(T, X)) AN D DU(T,
X)/DT = F(T, A L U(T, X)) 108 7.2 THE CAUCHY PROBLEM FOR THE EQUATION
DU(T, X)/DT = . F(U(T,X),A L U(T,X)) 115 7.3 THE CAUCHY PROBLEM FOR THE
EQUATION = F{F(X),A L U{T,X)) 121 7.4 THE CAUCHY PROBLEM FOR THE
EQUATION F(U(T, X), ; 8U(T,X)/DT, A L U(T,X)) = 0 126 APPENDIX.
LEVY-DIRICHLET FORMS AND ASSOCIATED MARKOV PROCESSES 133 A. 1 THE
DIRICHLET FORMS ASSOCIATED WITH THE LEVY-LAPLACE OPERATOR 133 A.2 THE
STOCHASTIC PROCESSES ASSOCIATED WITH THE LEVY-DIRICHLET FORMS 137
BIBLIOGRAPHIC NOTES 142 REFERENCES 144 INDEX . 152
|
| adam_txt |
THE LEVY LAPLACIAN M. N. FELLER CAMBRIDGE UNIVERSITY PRESS CONTENTS
INTRODUCTION PAGE 1 1 THE LEVY LAPLACIAN 05 1.1 DEFINITION OF THE
INFINITE-DIMENSIONAL LAPLACIAN 05 1.2 EXAMPLES OF LAPLACIANS FOR
FUNCTIONS ON INFINITE- DIMENSIONAL SPACES 09 1.3 GAUSSIAN MEASURES 13 2
LEVY-LAPLACE OPERATORS 22 2.1 INFINITE-DIMENSIONAL ORTHOGONAL
POLYNOMIALS 23 2.2 , THE SECOND-ORDER DIFFERENTIAL OPERATORS GENERATED
BY THE LEVY LAPLACIAN 30 2.3 DIFFERENTIAL OPERATORS OF ARBITRARY ORDER
GENERATED BY THE LEVY LAPLACIAN 33 3 SYMMETRIC LEVY-LAPLACE OPERATOR 40
3.1 THE SYMMETRIZED LEVY LAPLACIAN ON FUNCTIONS FROM THE DOMAIN OF
DEFINITION OF THE LEVY-LAPLACE OPERATOR 40 3.2 THE LEVY LAPLACIAN ON
FUNCTIONS FROM THE DOMAIN OF DEFINITION OF THE SYMMETRIZED LEVY-LAPLACE
OPERATOR 44 3.3 SELF-ADJOINTNESS OF THE NON-SYMMETRIZED LEVY-LAPLACE
OPERATOR 48 4 HARMONIC FUNCTIONS OF INFINITELY MANY VARIABLES 53 4.1
ARBITRARY SECOND-ORDER DERIVATIVES 54 4.2 ORTHOGONAL AND STOCHASTICALLY
INDEPENDENT SECOND-ORDER DERIVATIVES 59 4.3 TRANSLATIONALLY NON-POSITIVE
CASE 64 VI CONTENTS 5 LINEAR ELLIPTIC AND PARABOLIC EQUATIONS WITH LEVY
LAPLACIANS 68 5.1 THE DIRICHLET PROBLEM FOR THE LEVY-LAPLACE AND
LEVY-POISSON EQUATIONS 68 5.2 THE DIRICHLET PROBLEM FOR THE
LEVY-SCHRODINGER STATIONARY EQUATION 84 5.3 THE RIQUIER PROBLEM FOR THE
EQUATION WITH ITERATED LEVY LAPLACIANS 86 5.4 THE CAUCHY PROBLEM FOR THE
HEAT EQUATION 88 6 QUASILINEAR AND NONLINEAR ELLIPTIC EQUATIONS WITH
LEVY LAPLACIANS 92 6.1 THE DIRICHLET PROBLEM FOR THE EQUATION A L U(X) =
F(U(X)) 92 6.2 THE DIRICHLET PROBLEM FOR THE EQUATION F(U(X), A L U(X))
= F{X) 94 6.3 THE RIQUIER PROBLEM FOR THE EQUATION A 2L U(X) = F(U(X))
96 6.4 THE RIQUIER PROBLEM FOR THE EQUATION F(U(X),A 2L U(X)) = A L U(X)
99 6.5 THE RIQUIER PROBLEM FOR THE EQUATION F(U(X),A L U(X),A 2L U(X)) =
0 103 7 NONLINEAR PARABOLIC EQUATIONS WITH LEVY LAPLACIANS 108 7.1 THE
CAUCHY PROBLEM FOR THE EQUATIONS DU(T, X)/DT = F(A L U(T, X)) AN D DU(T,
X)/DT = F(T, A L U(T, X)) 108 7.2 THE CAUCHY PROBLEM FOR THE EQUATION
DU(T, X)/DT = . F(U(T,X),A L U(T,X)) 115 7.3 THE CAUCHY PROBLEM FOR THE
EQUATION = F{F(X),A L U{T,X)) 121 7.4 THE CAUCHY PROBLEM FOR THE
EQUATION F(U(T, X), ; 8U(T,X)/DT, A L U(T,X)) = 0 126 APPENDIX.
LEVY-DIRICHLET FORMS AND ASSOCIATED MARKOV PROCESSES 133 A. 1 THE
DIRICHLET FORMS ASSOCIATED WITH THE LEVY-LAPLACE OPERATOR 133 A.2 THE
STOCHASTIC PROCESSES ASSOCIATED WITH THE LEVY-DIRICHLET FORMS 137
BIBLIOGRAPHIC NOTES 142 REFERENCES 144 INDEX . 152 |
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| author | Feller, M. N. |
| author_facet | Feller, M. N. |
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| author_sort | Feller, M. N. |
| author_variant | m n f mn mnf |
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| bvnumber | BV021235685 |
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| ctrlnum | (OCoLC)263435777 (DE-599)BVBBV021235685 |
| dewey-full | 515.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7242 |
| dewey-search | 515.7242 |
| dewey-sort | 3515.7242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T13:29:39Z |
| indexdate | 2024-07-09T20:28:27Z |
| institution | BVB |
| isbn | 0521846226 9780521846226 |
| language | English |
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| physical | VI, 153 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Feller, M. N. Verfasser aut The Lévy Laplacian M. N. Feller 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2005 VI, 153 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 166 Dimension unendlich swd Laplace-Operator swd Partieller Differentialoperator swd Cambridge tracts in mathematics 166 (DE-604)BV000000001 166 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014278457&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feller, M. N. The Lévy Laplacian Cambridge tracts in mathematics Dimension unendlich swd Laplace-Operator swd Partieller Differentialoperator swd |
| title | The Lévy Laplacian |
| title_auth | The Lévy Laplacian |
| title_exact_search | The Lévy Laplacian |
| title_exact_search_txtP | The Lévy Laplacian |
| title_full | The Lévy Laplacian M. N. Feller |
| title_fullStr | The Lévy Laplacian M. N. Feller |
| title_full_unstemmed | The Lévy Laplacian M. N. Feller |
| title_short | The Lévy Laplacian |
| title_sort | the levy laplacian |
| topic | Dimension unendlich swd Laplace-Operator swd Partieller Differentialoperator swd |
| topic_facet | Dimension unendlich Laplace-Operator Partieller Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014278457&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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