Schwarz's Lemma for n-Ports
β Scribed by F.M. Reza
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 778 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
The scalar versions of Schwarz's Lemma have been extensively employed in the classical development of the synthesis of lumped RLC driving-point impedancefunction.
A vector space generalization of Schwarz's Lemma, particularly suitablefor application to linear passive n-port impedancefunctions, is derived in this paper. The concept of power dominant networks is introduced and a number of power inequalities derived.
π SIMILAR VOLUMES
We prove a version of the Schwarz Lemma in which the images of two points are Ε½ . known. Two classical results due to Dieudonne and Rogosinski are simple
In this note the following new version of the Schwarz lemma is proved: If f is a holomorphic function mapping a bounded convex domain D D of a complex Banach 1 Ε½ . space into a convex domain D D of another complex Banach space and f a s b, 2 then the image by f of the set of points in D D lying at a
Let D be a balanced convex domain in a sequentially complete locally convex space E. If f : D β E is a convex biholomorphic mapping with f (0) = 0 and df (0) = id, we have an upper bound of the growth of f . Also let D 1 , D 2 be bounded balanced pseudoconvex domains in complex normed spaces E 1 , E