Does there exist a non constant entire function $f: \mathbb C \to \mathbb C$ which is square integrable?
87188
Prove that a square-integrable entire function is identically zero
84510
If $f(\mathbb{C})\subset \mathbb{C}-[0,1]$ then $f$ is constant
15160
Example of Riemann integrable $f: [0,1] \to \mathbb R $ whose set of discontinuity points is an uncountable and dense set in $[0,1]$
86105
Can $\{(f(t),g(t)) \mid t\in [a,b]\}$ cover the entire square $[0,1] \times [0,1]$ ?
50427
Is function $f:\mathbb C-\{0\}\rightarrow\mathbb C$ prescribed by $z\rightarrow \large \frac{1}{z}$ by definition discontinuous at $0$?
96050
$f$ an analytic function on $\mathbb{C}$ which takes values in $\mathbb{C}\backslash(-\infty,0]$ implies constant
97949
Existence of a $\mathbb C$-Banach space isometric to a Hilbert Space but whose norm is not induced by an inner product?
13755
Is there a harmonic function in the whole plane that is postive everywhere?
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
116092
Non constant analytic function from $\{z\in\mathbb{C}:z\neq 0\}$ to $\{z\in\mathbb{C}:|z|>1\}.$
139614
Polynomial bounded real part of an entire function
158940
Give an example of a continuous function $f : [0, ∞) \mapsto [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.
27800
For continuous function $ f:\mathbb S^1 \to \mathbb R$ there exists uncountably many distinct points $x,y$ such that $f(x)=f(y)$
115878
Continuous unbounded but integrable functions
122356
Complex Analysis, Entire functions
101281
Does there exist a smooth function which is nowhere analytic?
129324
Let $f:[0;1]\to\mathbb R$ be continiously differentiable