In this paper, we introduce and study the generalized frame in a separableHilbert space H. Using operator-theoretic-methods, we give some conditions for a gen-eralized frame to be a tight frame, a dual frame, or an in...In this paper, we introduce and study the generalized frame in a separableHilbert space H. Using operator-theoretic-methods, we give some conditions for a gen-eralized frame to be a tight frame, a dual frame, or an independent frame in H. We alsoprove some results concerning generalized frame operators.展开更多
In the paper, we study the stability of Hilbert space generalized frames under perturbations. We get some results that are in spirit close to classical results for discrete frames, due to OLE Christensen.
We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and 7.In particular,the rationality of modular framed vertex operator algebras is es...We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and 7.In particular,the rationality of modular framed vertex operator algebras is established.For a modular code vertex operator algebra,the irreducible modules are constructed and classified.Moreover,a Z[1/2]-form for any framed vertex operator algebra over C is constructed.As a result,one can obtain a modular framed vertex operator algebra from any framed vertex operator algebra over C.展开更多
Based on Fillmore’s frame theory, this paper examines the translator’s cognitive frame operation in the English subtitle translation of Quanzhou’s World Heritage application documentary. It analyzes and discusses h...Based on Fillmore’s frame theory, this paper examines the translator’s cognitive frame operation in the English subtitle translation of Quanzhou’s World Heritage application documentary. It analyzes and discusses how the translator maximizes translation effect between the source language and the target language, so as to enhance the readability of documentary subtitles and promote the spread of traditional Chinese culture. The findings are as follows: Firstly, in the translation process, the frame operations used by the translator include frame correspondence, intra-frame operations, frame replacement, frame perspective shift and frame transplantation. Secondly, cultural documentaries are full of culture-loaded words, for which the translator usually uses frame transplantation. Thirdly, due to the instantaneous nature of subtitles, intra-frame operations and frame replacement are applied in terms of cultural background of the target language audience. Besides, in order to enhance the audience’s reading experience, there may be some changes of narrative perspective in the English translation of cultural documentaries.展开更多
We present a complete characterization of Gabor frame operators on finite dimensional Hilbert space L^(2)(Γ),whereΓ=Z_(m1)×Z_(m2)×…×Z_(mp)and m1,m2,...,mpare positive integers.The notion of generaliz...We present a complete characterization of Gabor frame operators on finite dimensional Hilbert space L^(2)(Γ),whereΓ=Z_(m1)×Z_(m2)×…×Z_(mp)and m1,m2,...,mpare positive integers.The notion of generalized B-modulation and generalized B-translation is introduced and some significant properties of the generalized pseudo B-Gabor like frames are discussed.展开更多
Authentication per frame is an implicit necessity for security in wireless local area networks（WLANs）. We propose a novel per frame secure authentication scheme which provides authentication to data frames in WLANs....Authentication per frame is an implicit necessity for security in wireless local area networks（WLANs）. We propose a novel per frame secure authentication scheme which provides authentication to data frames in WLANs. The scheme involves no cryptographic overheads for authentication of frames.It utilizes the sequence number of the frame along with the authentication stream generators for authentication.Hence, it requires no extra bits or messages for the authentication purpose and also no change in the existing frame format is required. The scheme provides authentication by modifying the sequence number of the frame at the sender, and that the modification is verified at the receiver. The modified sequence number is protected by using the XOR operation with a random number selected from the random stream. The authentication is lightweight due to the fact that it requires only trivial arithmetic operations like the subtraction and XOR operation.展开更多
In this paper, the sum of standard generalized flames of Hilbert W^＊-module is studied intensively by using operator-theoretic-methods, and some conditions are given to assure that the sum of two or more standard gen...In this paper, the sum of standard generalized flames of Hilbert W^＊-module is studied intensively by using operator-theoretic-methods, and some conditions are given to assure that the sum of two or more standard generalized frames is a standard generalized frame.展开更多
基金Supported by National Natural Science Foundation of China (19971056)
文摘In this paper, we introduce and study the generalized frame in a separableHilbert space H. Using operator-theoretic-methods, we give some conditions for a gen-eralized frame to be a tight frame, a dual frame, or an independent frame in H. We alsoprove some results concerning generalized frame operators.
文摘In the paper, we study the stability of Hilbert space generalized frames under perturbations. We get some results that are in spirit close to classical results for discrete frames, due to OLE Christensen.
基金supported by the Simons Foundation(Grant No.634104)Ching Hung Lam was supported by Ministry of Science and Technology(Grant No.104-2115-M-001-004-MY3)supported by National Natural Science Foundation of China(Grant No.12071314)。
文摘We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and 7.In particular,the rationality of modular framed vertex operator algebras is established.For a modular code vertex operator algebra,the irreducible modules are constructed and classified.Moreover,a Z[1/2]-form for any framed vertex operator algebra over C is constructed.As a result,one can obtain a modular framed vertex operator algebra from any framed vertex operator algebra over C.
文摘Based on Fillmore’s frame theory, this paper examines the translator’s cognitive frame operation in the English subtitle translation of Quanzhou’s World Heritage application documentary. It analyzes and discusses how the translator maximizes translation effect between the source language and the target language, so as to enhance the readability of documentary subtitles and promote the spread of traditional Chinese culture. The findings are as follows: Firstly, in the translation process, the frame operations used by the translator include frame correspondence, intra-frame operations, frame replacement, frame perspective shift and frame transplantation. Secondly, cultural documentaries are full of culture-loaded words, for which the translator usually uses frame transplantation. Thirdly, due to the instantaneous nature of subtitles, intra-frame operations and frame replacement are applied in terms of cultural background of the target language audience. Besides, in order to enhance the audience’s reading experience, there may be some changes of narrative perspective in the English translation of cultural documentaries.
文摘We present a complete characterization of Gabor frame operators on finite dimensional Hilbert space L^(2)(Γ),whereΓ=Z_(m1)×Z_(m2)×…×Z_(mp)and m1,m2,...,mpare positive integers.The notion of generalized B-modulation and generalized B-translation is introduced and some significant properties of the generalized pseudo B-Gabor like frames are discussed.
文摘Authentication per frame is an implicit necessity for security in wireless local area networks（WLANs）. We propose a novel per frame secure authentication scheme which provides authentication to data frames in WLANs. The scheme involves no cryptographic overheads for authentication of frames.It utilizes the sequence number of the frame along with the authentication stream generators for authentication.Hence, it requires no extra bits or messages for the authentication purpose and also no change in the existing frame format is required. The scheme provides authentication by modifying the sequence number of the frame at the sender, and that the modification is verified at the receiver. The modified sequence number is protected by using the XOR operation with a random number selected from the random stream. The authentication is lightweight due to the fact that it requires only trivial arithmetic operations like the subtraction and XOR operation.
基金the National Natural Science Foundation of China （No. 10771101） and Chuangxin Funds of Nanjing University of Aeronautics and Astronautics （No. 987561）.
文摘In this paper, the sum of standard generalized flames of Hilbert W^＊-module is studied intensively by using operator-theoretic-methods, and some conditions are given to assure that the sum of two or more standard generalized frames is a standard generalized frame.
