ASYMPTOTIC FORM OF THE SPECTRUM OF OPERATORS ASSOCIATED WITH p-ADIC FIELDS

作者：Ismagilov R S^*

来源：Theoretical and Mathematical Physics, 2014, 180(1): 753-758.

DOI：10.1007/s11232-014-0176-7

• asymptotic form
• spectrum
• Feynman-Kac formula
• operator trace
• p-adic field

We consider a locally compact nonconnected nondiscrete field and study a linear operator given by the sum of the operator of multiplication by a function and the operator of convolution with a generalized function. We derive the asymptotic form of the spectrum of that linear operator. In this problem, we use the generalized p-adic Feynman-Kac formula.

• 出版日期2014-7