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

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06920673 ◽

2017 ◽

Vol 69 (2) ◽

pp. 673-692 ◽

Author(s):

Masaki WADA

Keyword(s):

Asymptotic Expansion ◽

Stable Processes ◽

Spectral Functions ◽

Symmetric Stable Processes ◽

Resolvent Kernels ◽

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On the distribution of first hits for the symmetric stable processes.

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1961-0126885-4 ◽

1961 ◽

Vol 99 (3) ◽

pp. 540-540

Author(s):

R. M. Blumenthal ◽

R. K. Getoor ◽

D. B. Ray

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes

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Feynman-Kac Penalisations of Symmetric Stable Processes

Electronic Communications in Probability ◽

10.1214/ecp.v15-1524 ◽

2010 ◽

Vol 15 (0) ◽

pp. 32-43 ◽

Author(s):

Masayoshi Takeda

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes

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On the asymptotic behavior of resolvent kernels and spectral functions for some class of hypoelliptic operators

Proceedings of the Japan Academy ◽

10.3792/pja/1195519113 ◽

1974 ◽

Vol 50 (1) ◽

pp. 63-66 ◽

Author(s):

Akira Tsutsumi

Keyword(s):

Asymptotic Behavior ◽

Spectral Functions ◽

Hypoelliptic Operators ◽

Resolvent Kernels

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Null flows, positive flows and the structure of stationary symmetric stable processes

The Annals of Probability ◽

10.1214/009117905000000305 ◽

2005 ◽

Vol 33 (5) ◽

pp. 1782-1803 ◽

Author(s):

Gennady Samorodnitsky

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes

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Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes

Hiroshima Mathematical Journal ◽

10.32917/hmj/1147883392 ◽

2006 ◽

Vol 36 (1) ◽

pp. 1-21 ◽

Author(s):

Krzysztof Michalik

Keyword(s):

Green Function ◽

Poisson Kernel ◽

Stable Processes ◽

Symmetric Stable Processes ◽

Sharp Estimates ◽

Martin Kernel ◽

The Green Function

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Estimates on the Transition Densities of Girsanov Transforms of Symmetric Stable Processes

Journal of Theoretical Probability ◽

10.1007/s10959-006-0023-4 ◽

2006 ◽

Vol 19 (2) ◽

pp. 487-507 ◽

Author(s):

Renming Song

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes ◽

Transition Densities

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The Tanaka Formula for Symmetric Stable Processes with Index $\alpha$, $0<\alpha<2$

Theory of Probability and Its Applications ◽

10.1137/s0040585x97t989489 ◽

2019 ◽

Vol 64 (2) ◽

pp. 264-289

Author(s):

H.-J. Engelbert ◽

V. P. Kurenok

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes ◽

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Criticality for Schrödinger type operators based on recurrent symmetric stable processes

Transactions of the American Mathematical Society ◽

10.1090/tran/6319 ◽

2015 ◽

Vol 368 (1) ◽

pp. 149-167

Author(s):

Masayoshi Takeda

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes ◽

Schrödinger Type Operators

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Symmetric stable processes stay in thick sets

The Annals of Probability ◽

10.1214/aop/1078415837 ◽

2004 ◽

Vol 32 (1A) ◽

pp. 315-336 ◽

Author(s):

Jang-Mei Wu

Keyword(s):

Stable Processes ◽

Symmetric Stable Processes

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Large time asymptotics of Feynman-Kac functionals for symmetric stable processes

Mathematische Nachrichten ◽

10.1002/mana.201500136 ◽

2016 ◽

Vol 289 (16) ◽

pp. 2069-2082 ◽

Author(s):

Masayoshi Takeda ◽

Masaki Wada

Keyword(s):

Stable Processes ◽

Large Time Asymptotics ◽

Symmetric Stable Processes ◽

Time Asymptotics

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