SHARP SPECTRAL MULTIPLIERS WITHOUT SEMIGROUP FRAMEWORK AND APPLICATION TO RANDOM WALKS
| hal.structure.identifier | Guangzhou University | |
| dc.contributor.author | CHEN, Peng | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| hal.structure.identifier | Macquarie University | |
| dc.contributor.author | SIKORA, Adam | |
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | YAN, Lixin | |
| dc.date.accessioned | 2024-04-04T03:01:42Z | |
| dc.date.available | 2024-04-04T03:01:42Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192919 | |
| dc.description.abstractEn | In this paper we prove spectral multiplier theorems for abstract self-adjoint operators on spaces of homogeneous type. We have two main objectives. The first one is to work outside the semigroup context. In contrast to previous works on this subject, we do not make any assumption on the semigroup. The second objective is to consider polynomial off-diagonal decay instead of exponential one. Our approach and results lead to new applications to several operators such as differential operators, pseudo-differential operators as well as Markov chains. In our general context we introduce a restriction type estimatesàestimates`estimatesà la Stein-Tomas. This allows us to obtain sharp spectral multiplier theorems and hence sharp Bochner-Riesz summability results. Finally, we consider the random walk on the integer lattice Z n and prove sharp Bochner-Riesz summability results similar to those known for the standard Laplacian on R n . | |
| dc.description.sponsorship | Analyse Réelle et Géométrie - ANR-18-CE40-0012 | |
| dc.language.iso | en | |
| dc.title.en | SHARP SPECTRAL MULTIPLIERS WITHOUT SEMIGROUP FRAMEWORK AND APPLICATION TO RANDOM WALKS | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-02072126 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02072126v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CHEN,%20Peng&OUHABAZ,%20El%20Maati&SIKORA,%20Adam&YAN,%20Lixin&rft.genre=preprint |
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