Finite Dimensional Approximation to Band Limited White Noise
1967 ◽
Vol 29
◽
pp. 211-216
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Keyword(s):
Period 2
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One of the authors discussed finite dimensional approximations to a white noise and a periodic Brownian motion with period 2 π on the projective limit space of spheres ([2]). The group of unitary operators derived from the periodic white noise has a pure point spectrum which consists of all integers with countably infinite multiplicity. We also have much interest in the investigation of a band limited white noise which is another typical example having quite different spectral type. Indeed, the corresponding group of unitary operators has a continuous spectrum with countably infinite multiplicity.
2001 ◽
2000 ◽
Vol 73
(5)
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pp. 439-456
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Keyword(s):
2020 ◽
Vol 20
(1)
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pp. 109-120
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1987 ◽
Vol 48
(178)
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pp. 565-565
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1992 ◽
Vol 114
(4)
◽
pp. 580-587
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2000 ◽
Vol 6
(1)
◽
pp. 79-91
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