Fourier Transform fix

Flw fix e dw

fix ft Flw eiw dw

fix Flw

f ex iwftws

fig f f

f g f ftp.gix x ldx

f'T fix E

glxydxfixkedkflh yf.ae WYK

Ftpe 141 e su

Ut KUxx U CX 07 fix

It K Ciw uh

I e Kwtccw

t o un few aw _fewa e kit fewulx.tl fix IFT of

e Kt ht

fix FifeEct

I Fifa.i I

Wave equation

UH EUxxU IX o fixUH x 01 0

It H iw d du un

I b'Kurt Afw

1 sin cut 131W

I 1W o Flw Acw fewVfw o O Btw o

Uix t f IFTfSkip this part

i iriiTim

L

fi

ii

U UN't flu assert

ei wi

d w

ft Fay te t

ei

aw

If Fay e 4xtatdue

If few e witaw

x 14 7 t fix it

when there this IFT of us sin

Try to apply direct formula

Ex

Ut CUx

UH o fix

It tiew un

u eiet few

UH.tt ft ftp.e icwt.e iwxdw

ft ftp.e iwtxtctsdw

fix 14

Laplace equation

Oh o

ucx.es fixlimU ix y

O

4

IV g I jungle'm'd

liwiutuyy o.uyy w.cit

U Alu e'T 1,31W e WY

Acute if woo

1 CW 0 if Wco

I Any e MY

I fax e MyTl

UN y fix IFT of e MY

JI eMY e

indw

J'T ehey

ein

a w

f ewte

du

Fix fix 5uix.gl I t T

y di

Convolution Theorem

Ww flw Jew

Then hix

III fusein

an

f'T fix ein di gin eindu

f fix lgaxe iwx.eduat

ta f fx 7 gl sd

f g

Fourier transform of Gaussian

pmgun e

glx J e N ewdw

doth I e iw e Me Haw

f nideTw 2pm e In

II fd e I e im.nu

zip I e me ix

e iwxdw

Ip e hi e ixw

x

Jp 9 t

se guk e 1 c

guk c f e Mdws rew

tr f e as

FTTe

se g x ftp.e E