Geodesic
Analogs of Lorentz theorems for double multiplicative systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2012), pp. 76-85

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In this paper we prove Lorentz-type theorems connecting the behavior of Fourier coefficients and the decreasing order of the mixed modulus of continuity for double multiplicative systems with a bounded generating sequence.
Keywords: double multiplicative systems, Lorentz-type theorems, mixed modulus of continuity, generalized monotonicity. 
@article{IVM_2012_2_a8,
     author = {R. N. Fadeev},
     title = {Analogs of {Lorentz} theorems for double multiplicative systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {76--85},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_2_a8/}
}
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R. N. Fadeev. Analogs of Lorentz theorems for double multiplicative systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2012), pp. 76-85. http://geodesic.mathdoc.fr/item/IVM_2012_2_a8/