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Showing 1 to 11 of 11 for “"Cauchy-Riemann"”.
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On contact homology of the unit cotangent bundle of a Riemann surface with genus greater than one
… of the unit cotangent bundle of a Riemann surface of genus greater than 1. The contact form and compatible almost complex structure are both constructed from a metric on the Riemann surface whose curvature is constant -1. I related the pseudo-holomorphic curve equation to harmonic …
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Pseudoconformal Curvature and the Embeddability of a CR Hypersurface
… on the codimension and curvature, the image of a Cauchy-Riemann, or CR, hypersurface of revolution under a CR embedding is proved to be totally geodesic. We also prove a similar statement for the image of a Kahler manifold under a holomorphic conformal embedding.
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Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains
… ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good Stein neighborhood base on a Lipschitz domain satisfying Property (P).</p>
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An Analytical Asymptotic Solution Method of the Euler Equations for Efficient Flow Analysis and Aerodynamic Design
… equations are transformed into a non-homogeneous Cauchy-Riemann system. A sequence of coordinate transformations, mappings, and asymptotic expansions places the governing equations in a form suitable for classical mathematical techniques. The homogeneous solution to the governing system is …
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A-infinity algebras for Lagrangians via polyfold theory for Morse trees with holomorphic disks
… in Deligne-Mumford space. We then show that the Cauchy-Riemann section is sc-Fredholm, and by applying the polyfold perturbation we construct an A[infinity]. algebra over Z₂ coefficients. Under certain assumptions, we prove the invariance of this algebra with respect to choices of almost-complex …
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Conjugate operator on variable harmonic Bergman space
… and imaginary parts are deeply connected by the Cauchy-Riemann equations. It is natural to ask if we obtain some information about the real part, what can we conclude about the imaginary part, which is called the harmonic conjugate of the real part? Treating the relationship as an operation, the …
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Numerical methods for Riemann-Hilbert problems in multiply connected circle domains
Riemann-Hilbert problems are problems for determining functions analytic in a given domain with speci ed values on the boundary. Since the real and imaginary parts of an analytic function are related by the Cauchy-Riemann equations, both parts cannot be speci ed independently. Riemann-Hilbert …
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Extensions of the theory of tent spaces and applications to boundary value problems
… the classification of solutions to first-order Cauchy–Riemann systems (or equivalently, the classification of conormal gradients of solutions to second-order elliptic systems) within weighted tent spaces and Z-spaces. We establish this classification, and as a corollary we obtain a useful …
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Extensions of the theory of tent spaces and applications to boundary value problems
… the classification of solutions to first-order Cauchy–Riemann systems (or equivalently, the classification of conormal gradients of solutions to second-order elliptic systems) within weighted tent spaces and Z-spaces. We establish this classification, and as a corollary we obtain a useful …
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Complex Analysis on Planar Cell Complexes
… allows for the development of a discrete Cauchy Integral Formula.