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searching for Parseval's theorem 5 found (49 total)

Multidimensional modulation (727 words) [view diff] no match in snippet view article find links to article

with a Multidimensional sinusoidal signal. From the special case of Parseval’s theorem (MD FT Properties), it is noted that the energy or power of a signal

Sobolev inequality (3,187 words) [view diff] exact match in snippet view article find links to article

n-ball. Choosing ρ to minimize the sum of (1) and (2) and applying Parseval's theorem: ‖ u ^ ‖ L 2 = ‖ u ‖ L 2 {\displaystyle \|{\hat {u}}\|_{L^{2}}=\|u\|_{L^{2}}}

Sound from ultrasound (3,853 words) [view diff] exact match in snippet view article find links to article

resides on each half of the frequency axis. This is consistent with Parseval's theorem. The modulation depth m is a convenient experimental parameter when

Linear canonical transformation (2,884 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \int f_{i}(r)h_{i}^{*}(r)\,dr=\int f_{o}(r)h_{o}^{*}(r)\,dr} Parseval's theorem f i ∗ ( r ) {\displaystyle f_{i}^{*}(r)} [ L ( T − 1 ) f i ( r ) ]

Felix Hausdorff (7,673 words) [view diff] exact match in snippet view article find links to article

L p {\displaystyle L^{p}} spaces in his 1923 work An extension of Parseval's theorem on Fourier series. He proved the inequalities now named after him