Continuity theorems for a class of convolution operators and applications to superoscillations
Continuity theorems for a class of convolution operators and applications to superoscillations
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DOI：
10.1007/s10231-018-0736-x
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发表时间：
2018-10-01
影响因子：
1
通讯作者：
Struppa, D. C.
中科院分区：
文献类型：
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作者：
Aoki, T.;Colombo, F.;Struppa, D. C.
我们证明了一个关于可变系数卷积算子连续性的新定理，并用它来推断，当根据具有与时间相关的势的薛定谔方程演化时，超振荡序列的极限在所有时间值下都保持超振荡行为。
We prove a new theorem on the continuity of convolution operators with variable coefficients, and we use it to deduce that the limit of a superoscillating sequence maintains the superoscillatory behaviour for all values of time, when evolved according to Schrodinger equations with time-dependent potentials.