Journal of the Mathematical Society of Japan

Asymptotic expansion of resolvent kernels and behavior of spectral functions for symmetric stable processes

Masaki WADA

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Abstract

We give a precise behavior of spectral functions for symmetric stable processes applying the asymptotic expansion of resolvent kernels.

Article information

Source
J. Math. Soc. Japan Volume 69, Number 2 (2017), 673-692.

Dates
First available in Project Euclid: 20 April 2017

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1492653642

Digital Object Identifier
doi:10.2969/jmsj/06920673

Subjects
Primary: 60J45: Probabilistic potential theory [See also 31Cxx, 31D05]
Secondary: 60J40: Right processes 35J10: Schrödinger operator [See also 35Pxx]

Keywords
spectral function symmetric stable process Schrödinger form criticality Dirichlet form

Citation

WADA, Masaki. Asymptotic expansion of resolvent kernels and behavior of spectral functions for symmetric stable processes. J. Math. Soc. Japan 69 (2017), no. 2, 673--692. doi:10.2969/jmsj/06920673. https://projecteuclid.org/euclid.jmsj/1492653642


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