Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
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A Goursat decomposition for polyharmonic functions in Euclidean space [PDF]
, 2012 The Goursat representation formula in the complex plane, expressing a real–valued biharmonic function in terms of two holomorphic functions and their anti–holomorphic complex conjugates, is generalized to Euclidean space, expressing a real–valued ...
Brackx, Fred +3 more
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On some properties of the linear-invariant family of n-th order
Lietuvos Matematikos Rinkinys, 2023 In the work the linear-invariant family n-th order is determined. The omega-operator and the functionals related with it are introduced on this family. Their properties are studied.
Eduardas Kirjackis, Jevgenijus Kirjackis
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On the Implications of Discrete Symmetries for the Beta Function of Quantum Hall Systems
, 1998 We argue that the large discrete symmetry group of quantum Hall systems is insufficient in itself to determine the complete beta function for the scaling of the conductivities, $\sigma_{xx}$ and $\sigma_{xy}$.
Burgess +14 more
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The role of Fourier modes in extension theorems of Hartogs-Chirka type [PDF]
, 2004 We generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denotes the graph of a continuous D-valued function F -- to the bidisc.
Bharali +6 more
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Holomorphic extension of generalizations of Hp functions
International Journal of Mathematics and Mathematical Sciences, 1985 In recent analysis we have defined and studied holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions in tubes. In this paper we consider functions f(z), z=x+iy, which are holomorphic in the tube TC=ℝn+iC, where C is the finite ...
Richard D. Carmichael
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An exact estimate of the third Hankel determinants for functions inverse to convex functions
Математичні Студії, 2023 Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent intrest of many researcher from early twenth century to study geometric properties.
B. Rath, K. S. Kumar, D. V. Krishna
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M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions [PDF]
, 2008 We study a new class of inhomogeneous pp-wave solutions with 8 unbroken supersymmetries in D=11 supergravity. The 9 dimensional transverse space is Euclidean and split into 3 and 6 dimensional subspaces.
Kim, Jongwook +3 more
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
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’t Hooft anomalies and the holomorphy of supersymmetric partition functions
Journal of High Energy Physics, 2019 We study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, G F , for 2d N $$ \mathcal{N} $$ = (0, 2) and 4d N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories.
Cyril Closset +2 more
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