Tensor Product of Phase Retrievable Frames

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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