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A geometric estimate for a periodic Schrödinger operator

100%

Friedrich T.

Colloquium Mathematicum

2000

tom 83

nr 2

209-216

We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $-4{d^2}/{ds^2} + κ^2(s)$ with potential given by the curvature of a closed curve.

The Gaussian measure on algebraic varieties

63%

Agricola I., Friedrich T.

Fundamenta Mathematicae

1999

tom 159

nr 1

91-98

We prove that the ring ℝ[M] of all polynomials defined on a real algebraic variety $M⊂ℝ^n$ is dense in the Hilbert space $L^2(M,e^{-|x|^2}dμ)$, where dμ denotes the volume form of M and $dν = e^{-|x|^2}dμ$ the Gaussian measure on M.

Seiberg-Witten Theory

63%

Eichhorn J., Friedrich T.

Banach Center Publications

1997

tom 39

nr 1

231-267

We give an introduction into and exposition of Seiberg-Witten theory.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

3 Friedrich T.

1 Agricola I.

1 Eichhorn J.

1 2000

1 1999

1 1997

Wyniki wyszukiwania

A geometric estimate for a periodic Schrödinger operator

The Gaussian measure on algebraic varieties

Seiberg-Witten Theory