Question

Derivation of the Fourier transform of the derivative of a function

score 100 · Answer 1 · 2026-04-23 00:31:12

100

Views

Derivation of the Fourier transform of the derivative of a function

Published on 23 Apr 2026 - 0:31

score 74 · Answer 2 · 2026-04-16 05:25:46

74

Views

Fatou's Lemma or some convergence theorem

Published on 16 Apr 2026 - 5:25

score 80 · Answer 3 · 2026-04-16 20:27:50

80

Views

$ {{\int} f(\textbf {xt})\ d\lambda_{\Bbb R^2} (\textbf {t}) = |xy| {\int} f(\textbf {t})\ d\lambda_{\Bbb R^2} (\textbf {t})}.$

Published on 16 Apr 2026 - 20:27

score 194 · Answer 4 · 2026-04-13 16:20:01

194

Views

Convergence of particular function in $L^1$

Published on 13 Apr 2026 - 16:20

score 79 · Answer 5 · 2026-04-15 14:38:35

79

Views

Alternating sequence of Lebesgue integrable functions implies the sum of the integrals is equal to the integral of the sum.

Published on 15 Apr 2026 - 14:38

score 307 · Answer 6 · 2026-04-11 21:50:56

307

Views

Lebesgue integral and sigma algebra

Published on 11 Apr 2026 - 21:50

score 72 · Answer 7 · 2026-04-14 22:38:06

72

Views

Can we claim that $\int\limits_{X} f(x)d\mu=\int\limits_{X_1} f(x)d\mu$?

Published on 14 Apr 2026 - 22:38

score 313 · Answer 8 · 2026-05-04 22:15:41

313

Views

Show that $f_n\to f$ in $L^p$ if and only if $f^p_n \to f^p$ in $L^1.$

Published on 04 May 2026 - 22:15

score 46 · Answer 9 · 2026-04-10 22:10:33

46

Views

Can we conclude the equality of average from Lebesgue point?

Published on 10 Apr 2026 - 22:10

score 83 · Answer 10 · 2026-04-11 21:11:42

83

Views

The sufficient condition in the proof of Lebesgue differentiation theorem

Published on 11 Apr 2026 - 21:11

score 56 · Answer 11 · 2026-04-08 21:49:24

56

Views

Calculating an integral using Dominant convergence theorem

Published on 08 Apr 2026 - 21:49

score 45 · Answer 12 · 2026-04-11 06:45:36

45

Views

Measurability of a set and calculating a special integral

Published on 11 Apr 2026 - 6:45

score 63 · Answer 13 · 2026-04-16 08:13:07

63

Views

Evaluate $\int_0^1f(t)dt$

Published on 16 Apr 2026 - 8:13

score 72 · Answer 14 · 2026-04-17 15:12:34

72

Views

Show $\lim_{n\to\infty}n\int_0^1x^n f(x)dx = 0$, when $f\in L^1([0,1])$, and $\lim_{x\to1^-}f(x)=0$

Published on 17 Apr 2026 - 15:12

score 219 · Answer 15 · 2026-04-13 06:58:02

219

Views

My Problem in my Thesis

Published on 13 Apr 2026 - 6:58

List Question

Derivation of the Fourier transform of the derivative of a function

Fatou's Lemma or some convergence theorem

$ {{\int} f(\textbf {xt})\ d\lambda_{\Bbb R^2} (\textbf {t}) = |xy| {\int} f(\textbf {t})\ d\lambda_{\Bbb R^2} (\textbf {t})}.$

Convergence of particular function in $L^1$

Alternating sequence of Lebesgue integrable functions implies the sum of the integrals is equal to the integral of the sum.

Lebesgue integral and sigma algebra

Can we claim that $\int\limits_{X} f(x)d\mu=\int\limits_{X_1} f(x)d\mu$?

Show that $f_n\to f$ in $L^p$ if and only if $f^p_n \to f^p$ in $L^1.$

Can we conclude the equality of average from Lebesgue point?

The sufficient condition in the proof of Lebesgue differentiation theorem

Calculating an integral using Dominant convergence theorem

Measurability of a set and calculating a special integral

Evaluate $\int_0^1f(t)dt$

Show $\lim_{n\to\infty}n\int_0^1x^n f(x)dx = 0$, when $f\in L^1([0,1])$, and $\lim_{x\to1^-}f(x)=0$

My Problem in my Thesis

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