Skip to main content
SpringerLink
Log in

Appendix

  • Chapter
  • First Online:
Book cover Hermitian Analysis

Part of the book series: Cornerstones ((COR))

  • 1708 Accesses

Abstract

The fifth chapter is an appendix reviewing the prerequisites for the course: the real and complex number systems, metric spaces, complex analytic functions, probability.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ahlfors, Lars V., Complex Analysis: an introduction to the theory of analytic functions of one complex variable, Third edition, International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., New York, 1978.

    Google Scholar 

  2. Borwein, J. M., Hilbert’s inequality and Witten’s zeta-function, Amer. Math. Monthly 115 (2008), no. 2, 125137.

    Google Scholar 

  3. Baouendi, M. Salah, Ebenfelt, Peter, and Rothschild, Linda Preiss, Real submanifolds in complex space and their mappings, Princeton Mathematical Series 47, Princeton University Press, Princeton, NJ, 1999.

    Google Scholar 

  4. D’Angelo, J., Inequalities from Complex Analysis, Carus Mathematical Monograph No. 28, Mathematics Association of America, 2002.

    Book  MATH  Google Scholar 

  5. D’Angelo, J. An introduction to complex analysis and geometry, Pure and Applied Mathematics Texts, American Math Society, Providence, 2011.

    Google Scholar 

  6. D’Angelo, J., Invariant CR Mappings, pages 95–107 in Complex Analysis: Several complex variables and connections with PDEs and geometry (Fribourg 2008), Trends in Math, Birkhäuser-Verlag.

    Google Scholar 

  7. D’Angelo, J., A monotonicity result for volumes of holomorphic images, Michigan Math J. 54 (2006), 623–646.

    Article  MathSciNet  MATH  Google Scholar 

  8. D’Angelo, J., The combinatorics of certain group invariant maps, Complex Variables and Elliptic Equations, Volume 58, Issue 5 (2013), 621–634.

    Article  MathSciNet  MATH  Google Scholar 

  9. D’Angelo, J. and Tyson, J., An invitation to Cauchy-Riemann and sub-Riemannian geometries. Notices Amer. Math. Soc. 57 (2010), no. 2, 208219.

    Google Scholar 

  10. Darling, R. W. R., Differential Forms and Connections, Cambridge University Press, Cambridge, 1994.

    Book  MATH  Google Scholar 

  11. Epstein, C., Introduction to the Mathematics of Medical Imaging, Prentice Hall, Upper Saddle River, New Jersey, 2003.

    MATH  Google Scholar 

  12. Folland, G., Real Analysis: Modern techniques and their applications, Second Edition, John Wiley and Sons, New York, 1984.

    MATH  Google Scholar 

  13. Folland, G., Fourier Analysis and its Applications, Pure and Applied Mathematics Texts, American Math Society, Providence, 2008.

    Google Scholar 

  14. Greenberg, M., Advanced Engineering Mathematics, Prentice Hall, Upper Saddle River, New Jersey, 1998.

    Google Scholar 

  15. Goldbart, P. and Stone, M., Mathematics for Physics, Cambridge Univ. Press, Cambridge, 2009.

    MATH  Google Scholar 

  16. Hunt, Bruce J., Oliver Heaviside: A first-rate oddity, Phys. Today 65(11), 48(2012), 48–54.

    Article  Google Scholar 

  17. Hardy, G. H., Littlewood, J. E., and Polya, G, Inequalities, Second Edition, Cambridge Univ. Press, Cambridge, 1952.

    Google Scholar 

  18. Hubbard, J. H, and Hubbard, B., Vector Calculus, Linear Algebra, and Differential Forms, Prentice-Hall, Upper Saddle River, New Jersey, 2002.

    Google Scholar 

  19. Hoel P., Port S., and Stone C., Introduction to probability theory, Houghton Mifflin, Boston, 1971.

    MATH  Google Scholar 

  20. Katznelson, Y., An introduction to harmonic analysis, Dover Publications, New York, 1976.

    MATH  Google Scholar 

  21. Rauch, J., Partial Differential Equations, Springer Verlag, New York, 1991.

    Book  MATH  Google Scholar 

  22. Rosenlicht, M., Introduction to Analysis, Dover Publications, New York, 1968.

    MATH  Google Scholar 

  23. Steele, J. Michael, The Cauchy–Schwarz Master Class, MAA Problem Book Series, Cambridge Univ. Press, Cambridge, 2004.

    Book  Google Scholar 

  24. Saint Raymond, X., Elementary Introduction to the Theory of Pseudodifferential Operators, CRC Press, Boca Raton, 1991.

    MATH  Google Scholar 

  25. Stein, E. and Shakarchi, R., Fourier Analysis: An Introduction, Princeton Univ. Press, Princeton, New Jersey, 2003.

    Google Scholar 

  26. Young, N., An introduction to Hilbert space, Cambridge Univ. Press, Cambridge, 1988.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, IL, USA

    John P. D’Angelo

Authors
  1. John P. D’Angelo
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

D’Angelo, J.P. (2013). Appendix. In: Hermitian Analysis. Cornerstones. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-8526-1_5

Download citation

Publish with us

Policies and ethics

Search

Navigation