We provide a comprehensive analysis of matrix -valued Herglotz functions and illustrate their applications in the spectral theory of self -adjoint Hamiltonian systems including matrixvalued Schrรถdinger and Dirac -type operators. Special emphasis is devoted to appropriate matrixvalued extensions of t
On entire matrix-valued functions
โ Scribed by Pavla Mizori-Oblak; Ivan Vidav
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 420 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
## a b s t r a c t In this paper, we deal with the uniqueness problems on entire or meromorphic functions concerning differential polynomials that share one value with the same multiplicities. Moreover, we greatly generalize some results obtained by Fang, Lin and Yi, Fang and Fang.
## Abstract This paper contains first steps towards a Szegรถ theory of orthogonal rational matrixโvalued functions on the unit circle ๐. Hereby we are guided by former work of Bultheel, GonzรกlezโVera, Hendriksen, and Njรฅstad on scalar orthogonal rational functions on the one side and by investigatio