Infinite type power series subspaces of finite type power series spaces

1973 ◽  
Vol 15 (3) ◽  
pp. 257-281 ◽  
Author(s):  
Ed Dubinsky
Keyword(s):  
Power Series ◽  
Finite Type ◽  
Infinite Type ◽  
Type Power

Complemented infinite type power series subspaces of nuclear Fréchet spaces

1989 ◽  
Vol 283 (2) ◽  
pp. 193-202 ◽  
Author(s):  
A. Aytuna ◽  
J. Krone ◽  
T. Terzioğlu
Keyword(s):  
Power Series ◽  
Fréchet Spaces ◽  
Infinite Type ◽  
Type Power

Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function

2011 ◽  
Vol 14 (4) ◽  
Author(s):  
Živorad Tomovski ◽  
Tibor Pogány
Keyword(s):  
Power Series ◽  
Fractional Order ◽  
Integral Representations ◽  
Type Power

AbstractIn this paper several integral representations for the generalized fractional order Mathieu type power series $S_\mu (r;x) = \sum\limits_{n = 1}^\infty {\frac{{2nx^n }} {{(n^2 + r^2 )^{\mu + 1} }}(r \in \mathbb{R},\mu > 0,|x| \leqslant 1)} $ are presented. Also new integral expressions are derived for the Butzer-Flocke-Hauss (BFH) complete Omega function.

scholarly journals Power series spaces $Λ_{k}(a)$ of finite type and related nuclearities

1975 ◽  
Vol 53 (1) ◽  
pp. 1-13 ◽  
Author(s):  
M. Ramanujan ◽  
T. Terzioglu
Keyword(s):  
Power Series ◽  
Finite Type

scholarly journals Positioning matrices with respect to the boundary of the maximal group

1986 ◽  
Vol 33 (1) ◽  
pp. 113-122
Author(s):  
J. DeFranza ◽  
D.J. Fleming
Keyword(s):  
Power Series ◽  
Banach Algebra ◽  
Finite Type ◽  
Maximal Group ◽  
Nörlund Means ◽  
Invertible Elements

Let Δ denote the Banach algebra of all conservative triangular matrics, M the maximal group of invertible elements of Δ, B the boundary of M and . In this note little Nörlund means are located with respect to the disjoint decomposition M u B u N of Δ in terms of the zeros of the generating power series. Further, corridor matrices of finite type, that is, conservative methods with finitely many convergent diagonals, are located with respect to M u B u N.

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