The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On a Test for the Completeness (L2) of a Normal Orthogonal Set and its Applications


Affiliations
1 Central College, Bangalore, India
     

   Subscribe/Renew Journal


Steinhaus and Kaczmarz have given the following test on page 95 of their Theorie der orthogonal Reihen:-

A necessary and sufficient condition for the completeness (L2) of a normal orthogonal (O.N.) set {Φn} in (a, b) is that for a ≤ α ≤ β ≤ b.


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 199

PDF Views: 0




  • On a Test for the Completeness (L2) of a Normal Orthogonal Set and its Applications

Abstract Views: 199  |  PDF Views: 0

Authors

K. S. K. Iyengar
Central College, Bangalore, India

Abstract


Steinhaus and Kaczmarz have given the following test on page 95 of their Theorie der orthogonal Reihen:-

A necessary and sufficient condition for the completeness (L2) of a normal orthogonal (O.N.) set {Φn} in (a, b) is that for a ≤ α ≤ β ≤ b.