Harmonic and subharmonic function theory on the hyperbolic ball /:
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2016.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
431. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects. |
| Beschreibung: | 1 online resource (xv, 225 pages) |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9781316341063 1316341062 1316667081 9781316667088 1316667235 9781316667231 1316667383 9781316667385 1316667537 9781316667538 |
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| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Möbius transformations -- Möbius self-maps of the unit ball -- The invariant laplacian, gradient, and measure -- Harmonic and subharmonic functions -- The Poisson kernel and Poisson integrals -- Spherical harmonic expansions -- Hardy-type spaces of subharmonic functions -- Boundary behavior of Poisson integrals -- The Riesz decomposition theorem for subharmonic functions -- Bergman and Dirichlet spaces of harmonic functions. | |
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| contents | Möbius transformations -- Möbius self-maps of the unit ball -- The invariant laplacian, gradient, and measure -- Harmonic and subharmonic functions -- The Poisson kernel and Poisson integrals -- Spherical harmonic expansions -- Hardy-type spaces of subharmonic functions -- Boundary behavior of Poisson integrals -- The Riesz decomposition theorem for subharmonic functions -- Bergman and Dirichlet spaces of harmonic functions. |
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| series2 | London Mathematical Society lecture note series ; |
| spelling | Stoll, Manfred. http://id.loc.gov/authorities/names/nr94024383 Harmonic and subharmonic function theory on the hyperbolic ball / Manfred Stoll, University of South Carolina. Cambridge : Cambridge University Press, 2016. ©2016 1 online resource (xv, 225 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 431 This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects. Includes bibliographical references and indexes. Möbius transformations -- Möbius self-maps of the unit ball -- The invariant laplacian, gradient, and measure -- Harmonic and subharmonic functions -- The Poisson kernel and Poisson integrals -- Spherical harmonic expansions -- Hardy-type spaces of subharmonic functions -- Boundary behavior of Poisson integrals -- The Riesz decomposition theorem for subharmonic functions -- Bergman and Dirichlet spaces of harmonic functions. Print version record. English. Harmonic functions. http://id.loc.gov/authorities/subjects/sh85058943 Subharmonic functions. http://id.loc.gov/authorities/subjects/sh85052351 Hyperbolic spaces. http://id.loc.gov/authorities/subjects/sh86006874 Fonctions harmoniques. Fonctions sous-harmoniques. Espaces hyperboliques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Funciones armónicas embne Geometría hiperbólica embucm Harmonic functions fast Hyperbolic spaces fast Subharmonic functions fast Electronic books. has work: Harmonic and subharmonic function theory on the hyperbolic ball (Text) https://id.oclc.org/worldcat/entity/E39PCGjcvc6hjyj6gTm9x9v9rC https://id.oclc.org/worldcat/ontology/hasWork Print version: Stoll, Manfred. Harmonic and subharmonic function theory on the hyperbolic ball. Cambridge : Cambridge University Press, 2016 9781107541481 (DLC) 2015049530 (OCoLC)932385183 London Mathematical Society lecture note series ; 431. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1230555 Volltext |
| spellingShingle | Stoll, Manfred Harmonic and subharmonic function theory on the hyperbolic ball / London Mathematical Society lecture note series ; Möbius transformations -- Möbius self-maps of the unit ball -- The invariant laplacian, gradient, and measure -- Harmonic and subharmonic functions -- The Poisson kernel and Poisson integrals -- Spherical harmonic expansions -- Hardy-type spaces of subharmonic functions -- Boundary behavior of Poisson integrals -- The Riesz decomposition theorem for subharmonic functions -- Bergman and Dirichlet spaces of harmonic functions. Harmonic functions. http://id.loc.gov/authorities/subjects/sh85058943 Subharmonic functions. http://id.loc.gov/authorities/subjects/sh85052351 Hyperbolic spaces. http://id.loc.gov/authorities/subjects/sh86006874 Fonctions harmoniques. Fonctions sous-harmoniques. Espaces hyperboliques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Funciones armónicas embne Geometría hiperbólica embucm Harmonic functions fast Hyperbolic spaces fast Subharmonic functions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85058943 http://id.loc.gov/authorities/subjects/sh85052351 http://id.loc.gov/authorities/subjects/sh86006874 |
| title | Harmonic and subharmonic function theory on the hyperbolic ball / |
| title_auth | Harmonic and subharmonic function theory on the hyperbolic ball / |
| title_exact_search | Harmonic and subharmonic function theory on the hyperbolic ball / |
| title_full | Harmonic and subharmonic function theory on the hyperbolic ball / Manfred Stoll, University of South Carolina. |
| title_fullStr | Harmonic and subharmonic function theory on the hyperbolic ball / Manfred Stoll, University of South Carolina. |
| title_full_unstemmed | Harmonic and subharmonic function theory on the hyperbolic ball / Manfred Stoll, University of South Carolina. |
| title_short | Harmonic and subharmonic function theory on the hyperbolic ball / |
| title_sort | harmonic and subharmonic function theory on the hyperbolic ball |
| topic | Harmonic functions. http://id.loc.gov/authorities/subjects/sh85058943 Subharmonic functions. http://id.loc.gov/authorities/subjects/sh85052351 Hyperbolic spaces. http://id.loc.gov/authorities/subjects/sh86006874 Fonctions harmoniques. Fonctions sous-harmoniques. Espaces hyperboliques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Funciones armónicas embne Geometría hiperbólica embucm Harmonic functions fast Hyperbolic spaces fast Subharmonic functions fast |
| topic_facet | Harmonic functions. Subharmonic functions. Hyperbolic spaces. Fonctions harmoniques. Fonctions sous-harmoniques. Espaces hyperboliques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Funciones armónicas Geometría hiperbólica Harmonic functions Hyperbolic spaces Subharmonic functions Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1230555 |
| work_keys_str_mv | AT stollmanfred harmonicandsubharmonicfunctiontheoryonthehyperbolicball |