On the Gaussian representation of the Riesz probability distribution on symmetric matrices

Hassairi, Abdelhamid; Ktari, Fatma; Zine, Raoudha

doi:10.1007/s10182-022-00436-w

AStA Adv Stat Anal

2022

DOI: 10.1007/s10182-022-00436-w

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On the Gaussian representation of the Riesz probability distribution on symmetric matrices

Abdelhamid Hassairi

Fatma Ktari

Raoudha Zine

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2023

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Cited by 1 publication

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New approach on the study of operator matrix

Marzouk,

Walha

2023

Georgian Mathematical Journal

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In the present paper, a new technique is presented to study the problem of invertibility of unbounded block 3 × 3 {3\times 3} operator matrices defined with diagonal domain. Sufficient criteria are established to guarantee our interest and to prove some interaction between such a model of an operator matrix and its diagonal operator entries. The effectiveness of the proposed new technique is shown by a physical example of an integro differential equation named the neutron transport equation with partly elastic collision operators. In particular, the obtained results answer the question in [H. Zguitti, A note on Drazin invertibility for upper triangular block operators, Mediterr. J. Math. 10 2013, 3, 1497–1507] and the conjecture in [A. Bahloul and I. Walha, Generalized Drazin invertibility of operator matrices, Numer. Funct. Anal. Optim. 43 2022, 16, 1836–1847].

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New approach on the study of operator matrix

Marzouk,

Walha

2023

Georgian Mathematical Journal

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show abstract

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On the Gaussian representation of the Riesz probability distribution on symmetric matrices

Cited by 1 publication

References 29 publications

New approach on the study of operator matrix

New approach on the study of operator matrix

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