Local operators and Markov processes

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1. Verfasser: Stoica, Lucretiu (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 1980
Schriftenreihe:Lecture notes in mathematics 816
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adam_text CONTENTS Page Notation 1 CHAPTER I. LOCAL OPERATORS 1. General Properties 1 2. The Markov process associated to a local operator 6 3. Elliptic degenerated operators in Rn 12 4. Excessive functions 15 CHAPTER II. QUASIHARMONIC SPACES 1. Definitions 21 2. Construction of balayages and of potential kernels 24 3. An inequality 31 4. C-strict potentials 33 5. Construction of functions with locally given singularities 37 6. Construction of local operators on a quasiharmonic space 39 CHAPTER III. TOPOLOGICAL PROPERTIES OP GLOBAL TRANSITION FUNCTION 1. The general case 44 2. Continuity cases 47 CHAPTER IV. THE ADDITION OF LOCAL OPERATORS ON PRODUCT SPACES 1. A simple lemma 50 2. The sum of two local operators 51 3. The sum of a series of local operators 54 4. The operators L-d/dt 55 5. Bauer spaces and strong Feller semigroups 58 6. (SFS) for the sum of a series of local operators . . 63 CHAPTER V. 1. Local operators on a I.e.a group 67 2. Local operators on harmonic spaces 69 CHAPTER VI. FELLER RESOLVENTS 1. Convex cones of lower semicontinuous functions . . 76 2. Feller resolvents 79 3. Excessive functions for Feller resolvents 86 VIII 4. The local character 89 Note on the product of semigroups in Hilbert spaces ... 96 References 100 Subject Index 103 List of Symbols 104
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physical VIII, 102 S.
publishDate 1980
publishDateSearch 1980
publishDateSort 1980
publisher Springer
record_format marc
series Lecture notes in mathematics
series2 Lecture notes in mathematics
spellingShingle Stoica, Lucretiu
Local operators and Markov processes
Lecture notes in mathematics
Markov, Processus de
Opérateurs, Théorie des
Potentiel, Théorie du
Markov processes
Operator theory
Potential theory (Mathematics)
Markov-Prozess (DE-588)4134948-9 gnd
Lokaler Operator (DE-588)4774971-4 gnd
subject_GND (DE-588)4134948-9
(DE-588)4774971-4
title Local operators and Markov processes
title_auth Local operators and Markov processes
title_exact_search Local operators and Markov processes
title_full Local operators and Markov processes Lucretiu Stoica
title_fullStr Local operators and Markov processes Lucretiu Stoica
title_full_unstemmed Local operators and Markov processes Lucretiu Stoica
title_short Local operators and Markov processes
title_sort local operators and markov processes
topic Markov, Processus de
Opérateurs, Théorie des
Potentiel, Théorie du
Markov processes
Operator theory
Potential theory (Mathematics)
Markov-Prozess (DE-588)4134948-9 gnd
Lokaler Operator (DE-588)4774971-4 gnd
topic_facet Markov, Processus de
Opérateurs, Théorie des
Potentiel, Théorie du
Markov processes
Operator theory
Potential theory (Mathematics)
Markov-Prozess
Lokaler Operator
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001487984&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000676446
work_keys_str_mv AT stoicalucretiu localoperatorsandmarkovprocesses