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Fractal theoretic aspects of local field (Q974438)

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scientific article; zbMATH DE number 5716456

Language	Label	Description	Also known as
English	Fractal theoretic aspects of local field	scientific article; zbMATH DE number 5716456

Statements

scholarly article

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Fractal theoretic aspects of local field (English)

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\(p\)-Adic Numbers, Ultrametric Analysis, and Applications

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publication date

3 June 2010

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zbMATH Keywords

Besov space

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potential space

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local field

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uniformly distributed sequence

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MaRDI profile type

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A random walk on \(p\)-adics -- the generator and its spectrum

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Measure-valued branching processes associated with random walks on \(p\)-adics.

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Dirichlet forms on totally disconnected spaces and bipartite Markov chains

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Local properties of Lévy processes on a totally disconnected group

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Feller semigroups, Lp -sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols

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Function spaces related to continuous negative definite functions: \(\psi\)-Bessel potential spaces

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Etude des restes pour les suites de van der Corput generalisees

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The generalized van der Corput sequence and its application to numerical integration

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A uniformly distributed sequence on the ring of p-adic integers

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Dirichlet forms and symmetric Markov processes

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On Sobolev and capacitary inequalities for contractive Besov spaces over \(d\)-sets

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Analytic potential theory over the \(p\)-adics

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Quantizations and symbolic calculus over the \(p\)-adic numbers

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A Method for Numerical Integration

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\((r, p)\)-capacity and Hausdorff measure on a local field

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Removal of potential theoretic exceptional set on the field of \(p\)-adic numbers

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Besov space and trace theorem on a local field and its application

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Capacities associated with Dirichlet space on an infinite extension of a local field

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Analysis and probability over infinite extensions of a local field

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Hausdorff measure for a stable-like process over an infinite extension of a local field

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Brownian motion penetrating fractals. An application of the trace theorem of Besov spaces

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BMO for nondoubling measures

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Extension of measures to infinite dimensional spaces over \(p\)-adic field.

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full work available at URL

https://doi.org/10.1134/s2070046609010051

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Identifiers

zbMATH Open document ID

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10.1134/S2070046609010051

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:974438

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