Interpolation with meromorphic matrix functions
نویسندگان
چکیده
منابع مشابه
Zero-pole Interpolation for Matrix Meromorphic Functions on a Compact Riemann Surface and a Matrix Fay Trisecant Identity
This paper presents a new approach to constructing a meromorphic bundle map between flat vector bundles over a compact Riemann surface having a prescribed Weil divisor (i.e. having prescribed zeros and poles with directional as well as multiplicity information included in the vector case). This new formalism unifies the earlier approach of Ball-Clancey (in the setting of trivial bundles over an...
متن کاملMeromorphic functions with positive coefficients
for some α (0≤α< 1). We say that f(z) is in the class ∑C(α) of such functions. The class ∑∗(α) and various other subclasses of ∑ have been studied rather extensively by Nehari and Netanyahu [9], Clunie [4], Pommerenke [11, 12], Miller [7], Royster [13], and others (cf., e.g., Bajpai [2], Goel and Sohi [6], Mogra et al. [8], Uralegaddi and Ganigi [15], Cho et al. [3], Aouf [1], and Uralegaddi an...
متن کاملClasses of admissible functions associated with certain integral operators applied to meromorphic functions
In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained.
متن کاملMeromorphic Extendibility and Rigidity of Interpolation
Let T be the unit circle, f be an α-Hölder continuous function on T, α > 1/2, and A be the algebra of continuous function in the closed unit disk D that are holomorphic in D. Then f extends to a meromorphic function in D with at most m poles if and only if the winding number of f + h on T is bigger or equal to −m for any h ∈A such that f + h 6= 0 on T. 1. MAIN RESULTS Let g be a non-vanishing c...
متن کاملIteration of Meromorphic Functions
4. The Components of the Fatou set 4.1. The types of domains of normality 4.2. The classification of periodic components 4.3. The role of the singularities of the inverse function 4.4. The connectivity of the components of the Fatou set 4.5. Wandering domains 4.6. Classes of functions without wandering domains 4.7. Baker domains 4.8. Classes of functions without Baker domains 4.9. Completely in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1994
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1994-1189741-6