Real and Complex Analysis

Rudin, W. (1987). Real and Complex Analysis. McGraw-Hill.

Type

Book

Intellectual base

Textbook

Year

1987

ISBN

9780070542341

Link

https://openlibrary.org/books/OL2707518Mmatched

Cited by

3 citations across 3 artifacts.

Domain-specific

• Partition of unity
  • Partitions of unity glue local constructions into global functions, metrics, sections, forms, integrals, approximations, and numerics while preserving support control under paracompactness or manifold hypotheses.
• Phragmén–Lindelöf principle
  • Sector, strip and general-domain versions require different auxiliary functions and order thresholds; boundary continuity and exceptional cases must be declared.
• Positive harmonic function
  • … transfers from The Poisson kernel associated with a point mass on the boundary is a positive harmonic function whose representing measure is that point mass. to If a holomorphic function on the disc has positive real part, its real part is positive harmonic and therefore has a positive-measure Poisson representation..

Verification

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