Abstract
A test function space A L wp of smooth weighted L p -functions is constructed whose elements possess orthonormal series expansion converging in the space. Conditions for convergence in A L wp -space of any orthogonal series are obtained. The space of continuous linear functionals on A L wp is investigated and orthogonal series representations for its elements are given. Various special cases of the expansion are discussed, and their applications are pointed out.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
