Macro-element Hierarchical Riesz Bases

2014 ◽  
pp. 112-134 ◽  
Author(s):  
Oleg Davydov ◽  
Wee Ping Yeo
Keyword(s):  
Riesz Bases ◽  
Macro Element

New characterizations of g-frames and g-Riesz bases

2018 ◽  
Vol 16 (06) ◽  
pp. 1850053 ◽  
Author(s):  
Dongwei Li ◽  
Jinsong Leng ◽  
Tingzhu Huang
Keyword(s):  
Riesz Basis ◽  
Riesz Bases ◽  
Gram Matrix ◽  
Necessary Condition ◽  
Topological Properties ◽  
Bessel Sequence ◽  
Bessel Sequences ◽  
Sufficient And Necessary Condition

In this paper, we give some new characterizations of g-frames, g-Bessel sequences and g-Riesz bases from their topological properties. By using the Gram matrix associated with the g-Bessel sequence, we present a sufficient and necessary condition under which the sequence is a g-Bessel sequence (or g-Riesz basis). Finally, we consider the excess of a g-frame and obtain some new results.

Riesz bases of solutions of Sturm-Liouville equations

2001 ◽  
Vol 7 (3) ◽  
pp. 297-307 ◽  
Author(s):  
Xionghui He ◽  
Hans Volkmer
Keyword(s):  
Riesz Bases ◽  
Sturm Liouville

scholarly journals Macro-element method with water absorption and discharge functions for vertical drains

2015 ◽  
Vol 55 (5) ◽  
pp. 1113-1128 ◽  
Author(s):  
Shotaro Yamada ◽  
Toshihiro Noda ◽  
Mutsumi Tashiro ◽  
Hong-Son Nguyen
Keyword(s):  
Water Absorption ◽  
Vertical Drains ◽  
Macro Element ◽  
Element Method

scholarly journals Yet another generalization of frames and Riesz bases

2009 ◽  
Vol 2 (4) ◽  
pp. 397-409 ◽  
Author(s):  
Reza Joveini ◽  
Massoud Amini
Keyword(s):  
Riesz Bases
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