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Extension of Holomorphic Functions
This chapter is in the book Extension of Holomorphic Functions
Bibliography Complex analysis monographs [Chi 1989] Ε. M. Chirka, Complex Analytic Sets, Kluwer Academic Publishers, 1989. [Fer 1973] J.-P. Ferner, Spectral Theory and Complex Analysis, North-Holland, 1973. [Fuk 1963] B. A. Fuks, Introduction to the Theory of Analytic Functions of Several Complex Variables, Amer. Math. Soc., 1963. [Gra-Fri 1976] H. Grauert & K. Fritzsche, Several Complex Variables, Springer-Verlag, 1976. [Gun 1990] R. Gunning, Introduction to Holomorphic Functions of Several Variables, vol. I (Function Theory), vol. II (Local Theory), vol. Ill (Homological The-ory), Wadsworth & Brooks/Cole, 1990. [Gun-Ros 1965] R. Gunning & H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N.J., 1965. [Hay-Ken 1970] W. K. Hayman & P. B. Kennedy, Subharmonic Functions, Academic Press, 1970. [Hen-Lei 1984] G. M. Henkin & J. Leiterer, Theory of Functions on Complex Manifolds, Akademie-Verlag, Berlin 1984. [Hör 1990] L. Hörmander, An Introduction to Complex Analysis in Several Variables, North Holland, 1990. [Kli 1991] M. Klimek, Pluripotential Theory, Oxford University Press, 1991. [Kra 1982] S. G. Krantz, Function Theory of Several Complex Variables, Pure & Ap-plied Mathematics, John Wiley & Sons, 1982. [Nar 1968] R. Narasimhan, Analysis on Real and Complex Manifolds, North-Holland, 1968. [Pfl 1975b] P. Pflug, Holomorphiegebiete, pseudokonvexe Gebiete und das Levi-Pro-blem, Lecture Notes in Math. 432, Springer-Verlag, 1975. [Rad 1937] T. Rado, Subharmonic functions, Ergeb. Math. Grenzgeb. 5, Springer-Verlag, Berlin 1937. [Ran 1986] Μ. M. Range, Holomorphic Functions and Integral Representations in Sev-eral Complex Variables, Springer-Verlag, 1986. [Rot-Kop 1981] W. Rothstein & K. Kopfermann, Funktionentheorie mehrerer komplexer Veränderlicher, BI Wissenschaftsverlag, 1981. [Rud 1969] W. Rudin, Function Theory in Polydiscs, W. A. Benjamin Inc., 1969. [Rud 1980] W. Rudin, Function Theory in the Unit Ball of Cn, Grundlehren Math. Wiss. 241, Springer-Verlag, 1980.

Bibliography Complex analysis monographs [Chi 1989] Ε. M. Chirka, Complex Analytic Sets, Kluwer Academic Publishers, 1989. [Fer 1973] J.-P. Ferner, Spectral Theory and Complex Analysis, North-Holland, 1973. [Fuk 1963] B. A. Fuks, Introduction to the Theory of Analytic Functions of Several Complex Variables, Amer. Math. Soc., 1963. [Gra-Fri 1976] H. Grauert & K. Fritzsche, Several Complex Variables, Springer-Verlag, 1976. [Gun 1990] R. Gunning, Introduction to Holomorphic Functions of Several Variables, vol. I (Function Theory), vol. II (Local Theory), vol. Ill (Homological The-ory), Wadsworth & Brooks/Cole, 1990. [Gun-Ros 1965] R. Gunning & H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N.J., 1965. [Hay-Ken 1970] W. K. Hayman & P. B. Kennedy, Subharmonic Functions, Academic Press, 1970. [Hen-Lei 1984] G. M. Henkin & J. Leiterer, Theory of Functions on Complex Manifolds, Akademie-Verlag, Berlin 1984. [Hör 1990] L. Hörmander, An Introduction to Complex Analysis in Several Variables, North Holland, 1990. [Kli 1991] M. Klimek, Pluripotential Theory, Oxford University Press, 1991. [Kra 1982] S. G. Krantz, Function Theory of Several Complex Variables, Pure & Ap-plied Mathematics, John Wiley & Sons, 1982. [Nar 1968] R. Narasimhan, Analysis on Real and Complex Manifolds, North-Holland, 1968. [Pfl 1975b] P. Pflug, Holomorphiegebiete, pseudokonvexe Gebiete und das Levi-Pro-blem, Lecture Notes in Math. 432, Springer-Verlag, 1975. [Rad 1937] T. Rado, Subharmonic functions, Ergeb. Math. Grenzgeb. 5, Springer-Verlag, Berlin 1937. [Ran 1986] Μ. M. Range, Holomorphic Functions and Integral Representations in Sev-eral Complex Variables, Springer-Verlag, 1986. [Rot-Kop 1981] W. Rothstein & K. Kopfermann, Funktionentheorie mehrerer komplexer Veränderlicher, BI Wissenschaftsverlag, 1981. [Rud 1969] W. Rudin, Function Theory in Polydiscs, W. A. Benjamin Inc., 1969. [Rud 1980] W. Rudin, Function Theory in the Unit Ball of Cn, Grundlehren Math. Wiss. 241, Springer-Verlag, 1980.

Chapters in this book

  1. Frontmatter I
  2. Preface VII
  3. Contents IX
  4. Chapter 1 Riemann domains 1
  5. Chapter 2 Pseudoconvexity 96
  6. Chapter 3 Envelopes of holomorphy for special domains 235
  7. Chapter 4 Existence domains of special families of holomorphic functions 341
  8. List of symbols 461
  9. Bibliography 469
  10. Index 483
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https://doi.org/10.1515/9783110809787.469

Chapters in this book

  1. Frontmatter I
  2. Preface VII
  3. Contents IX
  4. Chapter 1 Riemann domains 1
  5. Chapter 2 Pseudoconvexity 96
  6. Chapter 3 Envelopes of holomorphy for special domains 235
  7. Chapter 4 Existence domains of special families of holomorphic functions 341
  8. List of symbols 461
  9. Bibliography 469
  10. Index 483
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