Results 61 to 70 of about 2,712,853 (214)
Homomorphisms between Algebras of Holomorphic Functions
For two complex Banach spaces X and Y, in this paper, we study the generalized spectrum ℳb(X,Y) of all nonzero algebra homomorphisms from ℋb(X), the algebra of all bounded type entire functions on X, into ℋb(Y).
Verónica Dimant +3 more
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Singularity of non‐pluripolar cohomology classes
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen +2 more
wiley +1 more source
Composite Holomorphic Functions and Normal Families
We study the normality of families of holomorphic functions. We prove the following result. Let α(z), ai(z), i=1,2,…,p, be holomorphic functions and F a family of holomorphic functions in a domain D, P(z,w):=(w-a1(z))(w-a2(z))⋯(w-ap(z)), p≥2.
Xiao Bing, Wu Qifeng, Yuan Wenjun
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Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
Some properties of a class of holomorphic functions associated with tangent function
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar +5 more
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On q-analogue of Janowski-type starlike functions with respect to symmetric points
The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article.
Khan Muhammad Ghaffar +4 more
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Uniqueness problem for accretive Schrödinger operators with complex singular coefficients
Abstract This paper studies the uniqueness problem for the one‐dimensional Schrödinger operator associated with the formal differential expression l[u]=−u′′+qu+i[(ru)′+ru′]$l[u] =-u^{\prime \prime }+qu + i[(ru)^{\prime }+ru^{\prime }] $ in the complex Hilbert space L2(R)$L^{2}(\mathbb {R})$.
Vladimir Mikhailets, Volodymyr Molyboga
wiley +1 more source
A proof of Esterle's conjecture on negative powers of Hilbert‐space contractions
Abstract We establish the following result, confirming a conjecture of Jean Esterle. For each closed subset E$E$ of the unit circle of Lebesgue measure zero, there exists a positive sequence un→∞$u_n\rightarrow \infty$ with the following property: If T$T$ is a contraction on a Hilbert space such that σ(T)⊂E$\sigma (T)\subset E$ and ∥T−n∥=O(un)$\Vert T^{
Thomas Ransford
wiley +1 more source
Weighted Vector-Valued Holomorphic Functions on Banach Spaces
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
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