Simultaneous unitarizability of SL$_{\hbox{\textit {n}}}{\mathbb {C}}$-valued maps, and constant mean curvature k-noid monodromy

Wayne Rossman; Nicholas Schmitt

Displaying similar documents to “Simultaneous unitarizability of SL $_{n} ℂ$ -valued maps, and constant mean curvature k-noid monodromy”

Morphisms of Klein surfaces.

F. J. Cirre (1997)

Revista Matemática de la Universidad Complutense de Madrid

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We give an elementary proof of a theorem of Andreian Cazacu on the behavior of morphisms of Klein surfaces under composition.

Regular analytic transformations of $ℝ^{2}$

Joseph Gubeladze (2000)

Annales Polonici Mathematici

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Existence of loops for non-injective regular analytic transformations of the real plane is shown. As an application, a criterion for injectivity of a regular analytic transformation of $ℝ^{2}$ in terms of the Jacobian and the first and second order partial derivatives is obtained. This criterion is new even in the special case of polynomial transformations.

Hulls of subsets of the torus in $ℂ^{2}$

Herbert Alexander (1998)

Annales de l'institut Fourier

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We construct a non-polynomially convex compact subset of the unit torus in $ℂ^{2}$ with polynomially convex hull containing no analytic structure.

Function spaces on the Olśhanskiĭsemigroup and the Gel'fand-Gindikin program

Khalid Koufany, Bent Ørsted (1996)

Annales de l'institut Fourier

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For the scalar holomorphic discrete series representations of $SU (2, 2)$ and their analytic continuations, we study the spectrum of a non-compact real form of the maximal compact subgroup inside $SU (2, 2)$ . We construct a Cayley transform between the Ol’shanskiĭ semigroup having $U (1, 1)$ as Šilov boundary and an open dense subdomain of the Hermitian symmetric space for $SU (2, 2)$ . This allows calculating the composition series in terms of harmonic analysis on $U (1, 1)$ . In particular we show that the Ol’shanskiĭ Hardy space...

A note on the extension of analytic functions off real analytic subsets.

G. Nardelli, A. Tancredi (1996)

Revista Matemática de la Universidad Complutense de Madrid

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Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.

Relations among analytic functions. I

Edward Bierstone, P. D. Milman (1987)

Annales de l'institut Fourier

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Neither real analytic sets nor the images of real or complex analytic mappings are, in general, coherent. Let $Φ : X \to Y$ be a morphism of real analytic spaces, and let $Ψ : 𝒢 \to ℱ$ be a homomorphism of coherent modules over the induced ring homomorphism $Φ^{*} : 𝒪_{Y} \to 𝒪_{X}$ . We conjecture that, despite the failure of coherence, certain natural discrete invariants of the modules of formal relations $ℛ_{a} = Ker {\hat{Ψ}}_{a}$ , $a \in X$ , are upper semi-continuous in the analytic Zariski topology of $X$ . We prove semicontinuity in many cases (e.g. in the algebraic...

Approximation of $C^{\infty}$ -functions without changing their zero-set

F. Broglia, A. Tognoli (1989)

Annales de l'institut Fourier

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For a $C^{\infty}$ function $ϕ : M \to ℝ$ (where $M$ is a real algebraic manifold) the following problem is studied. If $ϕ^{- 1} (0)$ is an algebraic subvariety of $M$ , can $ϕ$ be approximated by rational regular functions $f$ such that $f^{- 1} (0) = ϕ^{- 1} (0) ?$ We find that this is possible if and only if there exists a rational regular function $g : M \to ℝ$ such that $g^{- 1} (0) = ϕ^{- 1} (0)$ and g(x) $\cdot ϕ (x) \geq 0$ for any $x$ in $ℝ^{n}$ . Similar results are obtained also in the analytic and in the Nash cases. For non approximable functions the minimal flatness locus...

Displaying similar documents to “Simultaneous unitarizability of SL n ℂ -valued maps, and constant mean curvature k-noid monodromy”

Morphisms of Klein surfaces.

Regular analytic transformations of ℝ 2

Hulls of subsets of the torus in ℂ 2

Function spaces on the Olśhanskiĭsemigroup and the Gel'fand-Gindikin program

A note on the extension of analytic functions off real analytic subsets.

Relations among analytic functions. I

Approximation of C ∞ -functions without changing their zero-set

Displaying similar documents to “Simultaneous unitarizability of SL $_{n} ℂ$ -valued maps, and constant mean curvature k-noid monodromy”

Regular analytic transformations of $ℝ^{2}$

Hulls of subsets of the torus in $ℂ^{2}$

Approximation of $C^{\infty}$ -functions without changing their zero-set