Tensor Product of Phase Retrievable Frames

Year 2022, Volume: 7 Issue: 2, 142 - 151, 30.12.2022

Fatma Bozkurt

https://doi.org/10.33484/sinopfbd.1211231

Abstract

Frame vectors in the tensor product of Hilbert spaces that accomplish phase retrieval can be characterized. In this article, we determine the conditions under which the tensor product of vectors may do phase retrieval. Given that tensor product of two frames always implies a frame in the tensor product of Hilbert spaces, we particularly concentrate on finding conditions for phase retrieval in the tensor product of Hilbert spaces.

Keywords

Frame vectors, Tensor product, Phase Retrieval

Fazları Geri Alınabilen Frame Vektörlerinin Tensör Çarpımı

Abstract

Hilbert uzaylarının tensör çarpımındaki faz geri dönüşünü gerçekleştiren frame vektörleri karakterize edilmektedir. Bu
makalede, vektörlerin tensör çarpımının hangi koşullar altında faz
geri getirme yapabileceği belirlenmektedir. Iki frame setinin tensör çarpımının her zaman Hilbert uzaylarının tensör çarpımında bir frame ima ettiği göz önüne alındığında, bu çalışmada özellikle Hilbert uzaylarının tensör çarpımında frame vektörlerinin faz geri dönüşü için gerekli koşullar belirlenmiştir.

Keywords

Frame vektörleri, Tensör çarpımı, Faz geri alma

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