Piecewise Generated Frames
Approximation Theory and Special Functions ATSF 2024 Conference - 8th Series, Ankara, Türkiye, 4 - 07 Eylül 2024, ss.78, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: Ankara
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.78
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Evet
Özet
In this presentation, we introduce frames that are generated from a bounded lineer operator F on a Hilbert space
H together with scalars {a_i, b_i}_{i∈I} . We show that every frame {x_i}_{i∈I} in H can be written piecewise with a
bounded lineer operator F on H and some scalars {a_i, b_i}_{i∈I} but converse of the statement is not true in general.
We give several classifications of piecewsie frames for different bounded lineer operators F and scalars {a_i, b_i}_{i∈I}
in H.