A New Approach to Continuous Riesz Bases

نویسندگان
ایزدی زینب ID 1
میربیگی محدثه ID 2
موحدین منصوره ID 3
رضائی خسرو ID 4

1 دانشگاه شهید چمران اهواز

2 دانشگاه شاهد

3 دانشگاه تربیت مدرس

4 دانشگاه میبد

doi
چکیده

This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a continuous Riesz basis. Finally we find a measure with respect to which, a continuous wavelet frame is a continuous Riesz basis.

کلیدواژه‌ها
Continuous frame, Continuous orthonormal basis, Continuous Riesz basis