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Pseudo Differential Operators and Markov Processes, Volume II: Generators and Their Potential Theory
Pseudo Differential Operators and Markov Processes, Volume II: Generators and Their Potential Theory
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In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capac…
  • Leidėjas:
  • Metai: 2002
  • Puslapiai: 476
  • ISBN-10: 1860943241
  • ISBN-13: 9781860943249
  • Formatas: 16.2 x 23.7 x 2.8 cm, kieti viršeliai
  • Kalba: Anglų

Pseudo Differential Operators and Markov Processes, Volume II: Generators and Their Potential Theory (el. knyga) (skaityta knyga) | knygos.lt

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In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capacities, function spaces associated with continuous negative definite functions, Lp -sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood-Paley theory, global properties of Lp-sub-Markovian semigroups, and estimates for transition functions.

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  • Autorius: Niels Jacob
  • Leidėjas:
  • Metai: 2002
  • Puslapiai: 476
  • ISBN-10: 1860943241
  • ISBN-13: 9781860943249
  • Formatas: 16.2 x 23.7 x 2.8 cm, kieti viršeliai
  • Kalba: Anglų

In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capacities, function spaces associated with continuous negative definite functions, Lp -sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood-Paley theory, global properties of Lp-sub-Markovian semigroups, and estimates for transition functions.

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