O'Reilly logo

Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators by Randall Eubank, Tailen Hsing

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

7.5 RKHS valued processes

In Section 7.4, we considered the setting where a mean-square continuous stochastic process c07-math-513 is also a random element of c07-math-514. Here we consider what transpires when the Hilbert space c07-math-515 is an RKHS c07-math-516 where the rk c07-math-517 is a continuous function defined on c07-math-518.

In contrast to the c07-math-519 functional space in Section 7.4, as the elements of c07-math-520 are functions, there is no need to distinguish between the process c07-math-521 and the potential Hilbert space element c07-math-522. As such, the theoretical development at least in ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required