Preface

Misra, O. P.; Lavoine, Jean

doi:10.1016/s0304-0208(08)71074-0

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The Inverse Mellin Transform Of ω(T S)2

Generalized Dual Fock Space1

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2021

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Cited by 6 publications

(3 citation statements)

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“…Then, by Theorem 11.10.1 in [10], for all t ∈ 0, γ −1 , the function Ω(t) has an inverse Mellin transform u(t) ∈ M (0, ∞), given by…”

Section: The Inverse Mellin Transform Of ω(T S)mentioning

confidence: 98%

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A short remark on a growth–fragmentation equation

Escobedo

2017

Comptes Rendus. Mathématique

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“…Then, by Theorem 11.10.1 in [10], for all t ∈ 0, γ −1 , the function Ω(t) has an inverse Mellin transform u(t) ∈ M (0, ∞), given by…”

Section: The Inverse Mellin Transform Of ω(T S)mentioning

confidence: 98%

“…✷ The next Corollary follows from Proposition 3.2 and Theorem 11.10.1 in [10] on the uniqueness of the inverse Mellin transform: Corollary 3.1 For all σ 1 ∈ C, σ 2 ∈ C, suppose that γ > 0, 0 < γt < 1 and let ω be the measure:…”

Section: The Inverse Mellin Transform Of ω(T S)mentioning

confidence: 99%

A short remark on a growth–fragmentation equation

Escobedo

2017

Comptes Rendus. Mathématique

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“…The dual is presented in the spirit of ,reference [7]. In our present environment a member, F, belonging to the dual, " \rs'r'l'), will also enjoy a sequence [14].…”

Section: Generalized Dual Fock Spacementioning

confidence: 99%

Hankel transforms in generalized Fock spaces

Schmeelk

1993

International Journal of Mathematics and Mathematical Sciences

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Extinction Time of Non-Markovian Self-Similar Processes, Persistence, Annihilation of Jumps and the Fréchet Distribution

2019

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We start by providing an explicit characterization and analytical properties, including the persistence phenomena, of the distribution of the extinction time T of a class of non-Markovian self-similar stochastic processes with two-sided jumps that we introduce as a stochastic time-change of Markovian self-similar processes. For a suitably chosen timechanged, we observe, for classes with two-sided jumps, the following surprising facts. On the one hand, all the T's within a class have the same law which we identify in a simple form for all classes and reduces, in the spectrally positive case, to the Fréchet distribution. On the other hand, each of its distribution corresponds to the law of an extinction time of a single Markov process without positive jumps, leaving the interpretation that the time-changed has annihilated the effect of positive jumps. The example of the non-Markovian processes associated to Lévy stable processes is detailed.

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Preface

Cited by 6 publications

References 0 publications

A short remark on a growth–fragmentation equation

A short remark on a growth–fragmentation equation

Hankel transforms in generalized Fock spaces

Extinction Time of Non-Markovian Self-Similar Processes, Persistence, Annihilation of Jumps and the Fréchet Distribution

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