Whitney $(a)$-faults which are hard to detect

Anne Kambouchner; David J. A. Trotman

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Cramér's formula for Heisenberg manifolds

Mahta Khosravi, John A. Toth (2005)

Annales de l'institut Fourier

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Let $R (λ)$ be the error term in Weyl’s law for a 3-dimensional Riemannian Heisenberg manifold. We prove that $\int_{1}^{T} {| R (t) |}^{2} d t = c T^{\frac{5}{2}} + O_{δ} (T^{\frac{9}{4} + δ})$ , where $c$ is a specific nonzero constant and $δ$ is an arbitrary small positive number. This is consistent with the conjecture of Petridis and Toth stating that $R (t) = O_{δ} (t^{\frac{3}{4} + δ})$ .The idea of the proof is to use the Poisson summation formula to write the error term in a form which can be estimated by the method of the stationary phase. The similar result will be also proven in the $2 n + 1$ -dimensional case. ...

A remark on the Bott class

Taro Asuke (2001)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Short-time heat flow and functions of bounded variation in $R^{N}$

Michele Miranda, Diego Pallara, Fabio Paronetto, Marc Preunkert (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove a characterisation of sets with finite perimeter and $B V$ functions in terms of the short time behaviour of the heat semigroup in $R^{N}$ . For sets with smooth boundary a more precise result is shown.

On the product of the conjugates outside the unit circle of an algebraic integer

A. Bazylewicz (1976)

Acta Arithmetica

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On Ramanujan's continued fraction

K. Ramanathan (1984)

Acta Arithmetica

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On equations with reflection

D. Przeworska-Rolewicz (1969)

Studia Mathematica

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Displaying similar documents to “Whitney ( a ) -faults which are hard to detect”

Cramér's formula for Heisenberg manifolds

A remark on the Bott class

Short-time heat flow and functions of bounded variation in R N

On the product of the conjugates outside the unit circle of an algebraic integer

On Ramanujan's continued fraction

On equations with reflection

Displaying similar documents to “Whitney $(a)$ -faults which are hard to detect”

Short-time heat flow and functions of bounded variation in $R^{N}$