Results 51 to 60 of about 13,689,528 (374)

The Functional Equation and Beyond Endoscopy

open access: yes, 2012
In his paper "Beyond Endoscopy," Langlands tries to understand functoriality via poles of L-functions. The following paper further investigates the analytic continuation of a L-function associated to a $GL_2$ automorphic form through the trace formula ...
Herman, P. Edward
core   +1 more source

Motivic-type Invariants of Blow-analytic Equivalence [PDF]

open access: yes, 2002
To a given analytic function germ $f:(\mathbb{R}^d,0) \to (\mathbb{R},0)$, we associate zeta functions $Z_{f,+}$, $Z_{f,-} \in \mathbb{Z} [[T]]$, defined analogously to the motivic zeta functions of Denef and Loeser.
Koike, Satoshi, Parusinski, Adam
core   +3 more sources

Restrictions of analytic functions. I [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
An isometric expansion is derived which recaptures any H 2 {H^2} function from a restriction of its boundary function to a Borel set.
James Rovnyak, Marvin Rosenblum
openaire   +3 more sources

Codimension two CR singular submanifolds and extensions of CR functions

open access: yes, 2017
Let $M \subset {\mathbb{C}}^{n+1}$, $n \geq 2$, be a real codimension two CR singular real-analytic submanifold that is nondegenerate and holomorphically flat.
Lebl, Jiri   +2 more
core   +1 more source

Analyticity of functions analytic on circles

open access: yesJournal of Mathematical Analysis and Applications, 2009
Let U be the closed unit disc in C and let p be a point on the unit circle. Let f be a continuous function on U which extends holomorphically from each circle contained in U and centered at the origin, and from each circle contained in U and passing through the point p. Then f is holomorphic in the interior of U.
openaire   +3 more sources

Hankel determinant of order three for familiar subsets of analytic functions related with sine function

open access: yes, 2019
In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Muhammad Arif   +4 more
semanticscholar   +1 more source

Equivalence relations for two variable real analytic function germs [PDF]

open access: yes, 2008
For two variable real analytic function germs we compare the blow-analytic equivalence in the sense of Kuo to the other natural equivalence relations. Our main theorem states that $C^1$ equivalent germs are blow-analytically equivalent.
S. Koike, A. Parusiński
semanticscholar   +1 more source

On a subclass of starlike functions associated with a vertical strip domain

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class ...
Yong Sun   +3 more
doaj   +1 more source

Analytic Feynman Integral and a Change of Scale Formula for Wiener Integrals of an Unbounded Cylinder Function

open access: yesComplexity, 2020
We investigate the behavior of the unbounded cylinder function Fx=∫0Tα1tdxt2k⋅∫0Tα2tdxt2k⋅⋯⋅∫0Tαntdxt2k, k=1,2,… whose analytic Wiener integral and analytic Feynman integral exist, we prove some relationships among the analytic Wiener integral, the ...
Kim Young Sik
doaj   +1 more source

On the Ranges of Analytic Functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1980
Following Doob, we say that a function f ( z ) f(z) analytic in the unit disk U has the property K ( ρ ) K(\rho )\, if f ( 0 ) = 0 f(0)\, = \,0 and for some arc
openaire   +1 more source

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