We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric series converging to zero almost everywhere
In this article by a new and simple method we derive new and old coefficient bounds and distortion t...
AbstractA result of Hardy, giving a necessary and sufficient condition for a trigonometric series wi...
In this article by a new and simple method we derive new and old coefficient bounds and distortion t...
Analytic continuation is ill-posed, but becomes merely ill-conditioned (although with an infinite co...
A certain class of functions C on an interval is called quasianalytic if any function in C is unique...
Analytic continuation is ill-posed, but becomes merely ill-conditioned (although with an infinite co...
Let $\mathscr{F}$ be a class of functions with the uniqueness property: if $f\in \mathscr{F}$ vanis...
We construct aᅠq-analog of the blossom for analytic functions, the analyticᅠq-blossom. Thisᅠq-analog...
Suslin analytic sets characterize the sets of asymptotic values of entire holomorphic functions. By ...
Let f be a piecewise analytic function on the unit interval (respectively, the unit circle of the co...
Let $\mathscr{F}$ be a class of functions with the uniqueness property: if $f \in \mathscr{F}$ vanis...
The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Introduction. There has been considerable recent work in constructing bounded analytic functions wit...
Introduction. Quoting from a well-known American mathematician Lipman Bers [1] “It would be tempting...
In this article by a new and simple method we derive new and old coefficient bounds and distortion t...
AbstractA result of Hardy, giving a necessary and sufficient condition for a trigonometric series wi...
In this article by a new and simple method we derive new and old coefficient bounds and distortion t...
Analytic continuation is ill-posed, but becomes merely ill-conditioned (although with an infinite co...
A certain class of functions C on an interval is called quasianalytic if any function in C is unique...
Analytic continuation is ill-posed, but becomes merely ill-conditioned (although with an infinite co...
Let $\mathscr{F}$ be a class of functions with the uniqueness property: if $f\in \mathscr{F}$ vanis...
We construct aᅠq-analog of the blossom for analytic functions, the analyticᅠq-blossom. Thisᅠq-analog...
Suslin analytic sets characterize the sets of asymptotic values of entire holomorphic functions. By ...
Let f be a piecewise analytic function on the unit interval (respectively, the unit circle of the co...
Let $\mathscr{F}$ be a class of functions with the uniqueness property: if $f \in \mathscr{F}$ vanis...
The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Introduction. There has been considerable recent work in constructing bounded analytic functions wit...
Introduction. Quoting from a well-known American mathematician Lipman Bers [1] “It would be tempting...
In this article by a new and simple method we derive new and old coefficient bounds and distortion t...
AbstractA result of Hardy, giving a necessary and sufficient condition for a trigonometric series wi...
In this article by a new and simple method we derive new and old coefficient bounds and distortion t...