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Volume 28, Issue 1
Polynomially Bounded Cosine Functions

Dingbang Cang, Xiaoqiu Song & Chen Cang

Anal. Theory Appl., 28 (2012), pp. 13-18.

Published online: 2012-03

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  • Abstract

We characterize polynomial growth of cosine functions in terms of the resolvent of its generator and give a necessary and sufficient condition for a cosine function with an infinitesimal generator which is polynomially bounded.

  • Keywords

Cosine functions, resolvent, polynomially bounded.

  • AMS Subject Headings

47D09

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-28-13, author = {}, title = {Polynomially Bounded Cosine Functions}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {1}, pages = {13--18}, abstract = {

We characterize polynomial growth of cosine functions in terms of the resolvent of its generator and give a necessary and sufficient condition for a cosine function with an infinitesimal generator which is polynomially bounded.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2012.v28.n1.2}, url = {http://global-sci.org/intro/article_detail/ata/4536.html} }
TY - JOUR T1 - Polynomially Bounded Cosine Functions JO - Analysis in Theory and Applications VL - 1 SP - 13 EP - 18 PY - 2012 DA - 2012/03 SN - 28 DO - http://doi.org/10.4208/ata.2012.v28.n1.2 UR - https://global-sci.org/intro/article_detail/ata/4536.html KW - Cosine functions, resolvent, polynomially bounded. AB -

We characterize polynomial growth of cosine functions in terms of the resolvent of its generator and give a necessary and sufficient condition for a cosine function with an infinitesimal generator which is polynomially bounded.

Dingbang Cang, Xiaoqiu Song & Chen Cang. (1970). Polynomially Bounded Cosine Functions. Analysis in Theory and Applications. 28 (1). 13-18. doi:10.4208/ata.2012.v28.n1.2
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