First order elliptic systems :: a function theoretic approach /
First order elliptic systems : a function theoretic approach.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Academic Press,
1983.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 163. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | First order elliptic systems : a function theoretic approach. |
| Beschreibung: | 1 online resource (xi, 281 pages) |
| Bibliographie: | Includes bibliographical references (pages 269-274) and index. |
| ISBN: | 9780122832802 0122832809 9780080956695 0080956696 |
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| 245 | 1 | 0 | |a First order elliptic systems : |b a function theoretic approach / |c Robert P. Gilbert, James L. Buchanan. |
| 260 | |a New York : |b Academic Press, |c 1983. | ||
| 300 | |a 1 online resource (xi, 281 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mathematics in science and engineering ; |v v. 163 | |
| 504 | |a Includes bibliographical references (pages 269-274) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; First Order Elliptic Systems: A Function Theoretic Approach; Copyright Page; Contents; Preface; Chapter 0. Introduction; Chapter 1. Elliptic Systems in the Plane; 1. Introduction; 2. Hyperanalytic Functions; 3. Generalized Derivatives and the Hypercomplex Pompieu Operator; 4. Generalized Hyperanalytic Functions and Liouville's Theorem; 5. Cauchy Representation for Generalized Hyperanalytic Functions; 6. M-Analytic Functions; 7. Approximate Solutions; Chapter 2. Boundary Value Problems; 1. Introduction; 2. The Plemlj Formulas; 3. The Hilbert Problem for Hyperanalytic Functions | |
| 505 | 8 | |a 4. The Representation of a Piecewise Generalized Hyperanalytic Function in Terms of a Density5. The Hilbert Problem for Generalized Hyperanalytic Functions; 6. The Hilbert Problem in the Purely Hypercomplex Case; 7. The Riemann-Hilbert Problem for Hypercomplex Functions; 8. The Representation of a Generalized Hyperanalyiic Function in Terms of a Real Density; 9. The Riemann-Hilbert Problem for Generalized Hyperanalytic Functions; 10. The Riemann-Hilbert Problem in the Purely Hypercomplex Case; Chapter 3. Reductions to Hyperanalyticity; 1. Introduction; 2. Similarity Principles | |
| 505 | 8 | |a 3. Global Similarity Principle4. The Riemann-Hilbert Problem; 5. Hyperanalytic Functions Having Distributional Boundary Data; 6. Nonlinear Problems and Reductions to Linear Problems; 7. Liouville's Theorem and the Similarity Principle for Pascali Systems; Chapter 4. Function Theory over Clifford Algebras; 1. Introduction; 2. Regular Functions; 3. Hilbert Modules; 4. Liouville's Theorem; 5. a-Holomorphic Functions; 6. Generalized Regular Functions in Rn; 7. Overdetermined Elliptic Systems; 8. Function Theory for Higher Order Elliptic Systems with Analytic Coefficients | |
| 505 | 8 | |a 9. Commutative Alternatives for Higher Dimensional Function TheoryChapter 5. Partial Differential Equations of Several Complex Variables; 1. Inhomogeneous Cauchy-Riemann Equations in Polycylinders; 2. Inhomogeneous Cauchy-Riemann Systems for Several Unknowns; 3. Existence Theorems for Solutions of Partial Differential Equations in Several Complex Variables; 4. Real-Linear Equations in Two Complex Variables; 5. Nonhomogeneous Cauchy-Riemann Equations in Analytic Polyhedra; 6 . Pluriharmonic Functions; Bibliography; Index | |
| 520 | |a First order elliptic systems : a function theoretic approach. | ||
| 650 | 0 | |a Differential equations, Elliptic. |0 http://id.loc.gov/authorities/subjects/sh85037895 | |
| 650 | 6 | |a Équations différentielles elliptiques. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Elliptic |2 fast | |
| 650 | 7 | |a Equations différentielles elliptiques. |2 ram | |
| 700 | 1 | |a Buchanan, James L. |0 http://id.loc.gov/authorities/names/n82060852 | |
| 758 | |i has work: |a First order elliptic systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGTYkY8mMhfh4cjQV8qRKd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| adam_text | |
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| author | Gilbert, Robert P., 1932- |
| author2 | Buchanan, James L. |
| author2_role | |
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| author_GND | http://id.loc.gov/authorities/names/n50027536 http://id.loc.gov/authorities/names/n82060852 |
| author_facet | Gilbert, Robert P., 1932- Buchanan, James L. |
| author_role | |
| author_sort | Gilbert, Robert P., 1932- |
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| building | Verbundindex |
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| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 .G498 1983eb |
| callnumber-search | QA377 .G498 1983eb |
| callnumber-sort | QA 3377 G498 41983EB |
| callnumber-subject | QA - Mathematics |
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| contents | Front Cover; First Order Elliptic Systems: A Function Theoretic Approach; Copyright Page; Contents; Preface; Chapter 0. Introduction; Chapter 1. Elliptic Systems in the Plane; 1. Introduction; 2. Hyperanalytic Functions; 3. Generalized Derivatives and the Hypercomplex Pompieu Operator; 4. Generalized Hyperanalytic Functions and Liouville's Theorem; 5. Cauchy Representation for Generalized Hyperanalytic Functions; 6. M-Analytic Functions; 7. Approximate Solutions; Chapter 2. Boundary Value Problems; 1. Introduction; 2. The Plemlj Formulas; 3. The Hilbert Problem for Hyperanalytic Functions 4. The Representation of a Piecewise Generalized Hyperanalytic Function in Terms of a Density5. The Hilbert Problem for Generalized Hyperanalytic Functions; 6. The Hilbert Problem in the Purely Hypercomplex Case; 7. The Riemann-Hilbert Problem for Hypercomplex Functions; 8. The Representation of a Generalized Hyperanalyiic Function in Terms of a Real Density; 9. The Riemann-Hilbert Problem for Generalized Hyperanalytic Functions; 10. The Riemann-Hilbert Problem in the Purely Hypercomplex Case; Chapter 3. Reductions to Hyperanalyticity; 1. Introduction; 2. Similarity Principles 3. Global Similarity Principle4. The Riemann-Hilbert Problem; 5. Hyperanalytic Functions Having Distributional Boundary Data; 6. Nonlinear Problems and Reductions to Linear Problems; 7. Liouville's Theorem and the Similarity Principle for Pascali Systems; Chapter 4. Function Theory over Clifford Algebras; 1. Introduction; 2. Regular Functions; 3. Hilbert Modules; 4. Liouville's Theorem; 5. a-Holomorphic Functions; 6. Generalized Regular Functions in Rn; 7. Overdetermined Elliptic Systems; 8. Function Theory for Higher Order Elliptic Systems with Analytic Coefficients 9. Commutative Alternatives for Higher Dimensional Function TheoryChapter 5. Partial Differential Equations of Several Complex Variables; 1. Inhomogeneous Cauchy-Riemann Equations in Polycylinders; 2. Inhomogeneous Cauchy-Riemann Systems for Several Unknowns; 3. Existence Theorems for Solutions of Partial Differential Equations in Several Complex Variables; 4. Real-Linear Equations in Two Complex Variables; 5. Nonhomogeneous Cauchy-Riemann Equations in Analytic Polyhedra; 6 . Pluriharmonic Functions; Bibliography; Index |
| ctrlnum | (OCoLC)316566645 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn316566645 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:42Z |
| institution | BVB |
| isbn | 9780122832802 0122832809 9780080956695 0080956696 |
| language | English |
| oclc_num | 316566645 |
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| physical | 1 online resource (xi, 281 pages) |
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| publishDateSearch | 1983 |
| publishDateSort | 1983 |
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| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Gilbert, Robert P., 1932- https://id.oclc.org/worldcat/entity/E39PBJy4cDgt9f6cjjCKTrGPwC http://id.loc.gov/authorities/names/n50027536 First order elliptic systems : a function theoretic approach / Robert P. Gilbert, James L. Buchanan. New York : Academic Press, 1983. 1 online resource (xi, 281 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 163 Includes bibliographical references (pages 269-274) and index. Print version record. Front Cover; First Order Elliptic Systems: A Function Theoretic Approach; Copyright Page; Contents; Preface; Chapter 0. Introduction; Chapter 1. Elliptic Systems in the Plane; 1. Introduction; 2. Hyperanalytic Functions; 3. Generalized Derivatives and the Hypercomplex Pompieu Operator; 4. Generalized Hyperanalytic Functions and Liouville's Theorem; 5. Cauchy Representation for Generalized Hyperanalytic Functions; 6. M-Analytic Functions; 7. Approximate Solutions; Chapter 2. Boundary Value Problems; 1. Introduction; 2. The Plemlj Formulas; 3. The Hilbert Problem for Hyperanalytic Functions 4. The Representation of a Piecewise Generalized Hyperanalytic Function in Terms of a Density5. The Hilbert Problem for Generalized Hyperanalytic Functions; 6. The Hilbert Problem in the Purely Hypercomplex Case; 7. The Riemann-Hilbert Problem for Hypercomplex Functions; 8. The Representation of a Generalized Hyperanalyiic Function in Terms of a Real Density; 9. The Riemann-Hilbert Problem for Generalized Hyperanalytic Functions; 10. The Riemann-Hilbert Problem in the Purely Hypercomplex Case; Chapter 3. Reductions to Hyperanalyticity; 1. Introduction; 2. Similarity Principles 3. Global Similarity Principle4. The Riemann-Hilbert Problem; 5. Hyperanalytic Functions Having Distributional Boundary Data; 6. Nonlinear Problems and Reductions to Linear Problems; 7. Liouville's Theorem and the Similarity Principle for Pascali Systems; Chapter 4. Function Theory over Clifford Algebras; 1. Introduction; 2. Regular Functions; 3. Hilbert Modules; 4. Liouville's Theorem; 5. a-Holomorphic Functions; 6. Generalized Regular Functions in Rn; 7. Overdetermined Elliptic Systems; 8. Function Theory for Higher Order Elliptic Systems with Analytic Coefficients 9. Commutative Alternatives for Higher Dimensional Function TheoryChapter 5. Partial Differential Equations of Several Complex Variables; 1. Inhomogeneous Cauchy-Riemann Equations in Polycylinders; 2. Inhomogeneous Cauchy-Riemann Systems for Several Unknowns; 3. Existence Theorems for Solutions of Partial Differential Equations in Several Complex Variables; 4. Real-Linear Equations in Two Complex Variables; 5. Nonhomogeneous Cauchy-Riemann Equations in Analytic Polyhedra; 6 . Pluriharmonic Functions; Bibliography; Index First order elliptic systems : a function theoretic approach. Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Équations différentielles elliptiques. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Elliptic fast Equations différentielles elliptiques. ram Buchanan, James L. http://id.loc.gov/authorities/names/n82060852 has work: First order elliptic systems (Text) https://id.oclc.org/worldcat/entity/E39PCGTYkY8mMhfh4cjQV8qRKd https://id.oclc.org/worldcat/ontology/hasWork Print version: Gilbert, Robert P., 1932- First order elliptic systems. New York : Academic Press, 1983 9780122832802 (DLC) 82008703 (OCoLC)8452388 Mathematics in science and engineering ; v. 163. http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297037 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/163 Volltext |
| spellingShingle | Gilbert, Robert P., 1932- First order elliptic systems : a function theoretic approach / Mathematics in science and engineering ; Front Cover; First Order Elliptic Systems: A Function Theoretic Approach; Copyright Page; Contents; Preface; Chapter 0. Introduction; Chapter 1. Elliptic Systems in the Plane; 1. Introduction; 2. Hyperanalytic Functions; 3. Generalized Derivatives and the Hypercomplex Pompieu Operator; 4. Generalized Hyperanalytic Functions and Liouville's Theorem; 5. Cauchy Representation for Generalized Hyperanalytic Functions; 6. M-Analytic Functions; 7. Approximate Solutions; Chapter 2. Boundary Value Problems; 1. Introduction; 2. The Plemlj Formulas; 3. The Hilbert Problem for Hyperanalytic Functions 4. The Representation of a Piecewise Generalized Hyperanalytic Function in Terms of a Density5. The Hilbert Problem for Generalized Hyperanalytic Functions; 6. The Hilbert Problem in the Purely Hypercomplex Case; 7. The Riemann-Hilbert Problem for Hypercomplex Functions; 8. The Representation of a Generalized Hyperanalyiic Function in Terms of a Real Density; 9. The Riemann-Hilbert Problem for Generalized Hyperanalytic Functions; 10. The Riemann-Hilbert Problem in the Purely Hypercomplex Case; Chapter 3. Reductions to Hyperanalyticity; 1. Introduction; 2. Similarity Principles 3. Global Similarity Principle4. The Riemann-Hilbert Problem; 5. Hyperanalytic Functions Having Distributional Boundary Data; 6. Nonlinear Problems and Reductions to Linear Problems; 7. Liouville's Theorem and the Similarity Principle for Pascali Systems; Chapter 4. Function Theory over Clifford Algebras; 1. Introduction; 2. Regular Functions; 3. Hilbert Modules; 4. Liouville's Theorem; 5. a-Holomorphic Functions; 6. Generalized Regular Functions in Rn; 7. Overdetermined Elliptic Systems; 8. Function Theory for Higher Order Elliptic Systems with Analytic Coefficients 9. Commutative Alternatives for Higher Dimensional Function TheoryChapter 5. Partial Differential Equations of Several Complex Variables; 1. Inhomogeneous Cauchy-Riemann Equations in Polycylinders; 2. Inhomogeneous Cauchy-Riemann Systems for Several Unknowns; 3. Existence Theorems for Solutions of Partial Differential Equations in Several Complex Variables; 4. Real-Linear Equations in Two Complex Variables; 5. Nonhomogeneous Cauchy-Riemann Equations in Analytic Polyhedra; 6 . Pluriharmonic Functions; Bibliography; Index Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Équations différentielles elliptiques. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Elliptic fast Equations différentielles elliptiques. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037895 |
| title | First order elliptic systems : a function theoretic approach / |
| title_auth | First order elliptic systems : a function theoretic approach / |
| title_exact_search | First order elliptic systems : a function theoretic approach / |
| title_full | First order elliptic systems : a function theoretic approach / Robert P. Gilbert, James L. Buchanan. |
| title_fullStr | First order elliptic systems : a function theoretic approach / Robert P. Gilbert, James L. Buchanan. |
| title_full_unstemmed | First order elliptic systems : a function theoretic approach / Robert P. Gilbert, James L. Buchanan. |
| title_short | First order elliptic systems : |
| title_sort | first order elliptic systems a function theoretic approach |
| title_sub | a function theoretic approach / |
| topic | Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Équations différentielles elliptiques. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Elliptic fast Equations différentielles elliptiques. ram |
| topic_facet | Differential equations, Elliptic. Équations différentielles elliptiques. MATHEMATICS Differential Equations Partial. Differential equations, Elliptic Equations différentielles elliptiques. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297037 https://www.sciencedirect.com/science/bookseries/00765392/163 |
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