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## List of Publications

Please try again later. Format: Paperback. There are a few books within a subject of mathematics which stand out from the others, and this is one. The writing is crisp, and yet engaged.

## Hardy Classes and Operator Theory (Oxford Mathematical Monographs)

It is also the place where we look up the fundamentals in the subject;-- and it is one which seems to be timeless,-- one that doesn't go out of fashion. As the fashions change, we still need to be able to refer to the fundamental and timeless ideas, upon which the changing trends continue to rely. It is great that we have Dover to reprint such classics in math.

Even among the classics, this one is special. This book is very technical in the mathematics of shift operators: even with a good understanding of Hilbert spaces and Banach theory this book will be very hard to read. If you are a PH. Even if it is cheap!

### REFERENCES

Jorgensen, R. Seager, and D. Journal of Applied Mathematics and Computing. Volume 41, Issue 1 , Page Extending wavelet filters. Infinite dimensions, the non-rational case, and indefinite-inner product spaces. Convex cones of generalized positive rational functions and Nevanlinna-Pick interpolation. Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. Melnikov, and V. On the class SI of J-contractive functions intertwining solutions of linear differential equations. Dijksma, H. Langer and D. A Schur transformation for functions in a general class of domains.

Indagationes Mathematicae. S , no. Stochastic processes induced by singular operators. Alpay, H. Attia and D. White noise based stochastic calculus associated with a class of Gaussian processes. Schur functions and their realizations in the slice hyperholomorphic setting. Alpay and H. A theorem on tensor products of quaternionic Hilbert spaces and a von Neumann inequality.

Complex Variables and Elliptic Functions, vol. An interpolation problem for functions with values in a commutative ring. Operator Theory: Advances and Applications, Vol. Correa-Romero, M. On the structure of the Taylor series in Clifford and quaternionic analysis. Integral Equations and Operator Theory, vol 71 The positive real lemma and construction of all realizations of generalized positive rational functions.

## Operator theory - Wikipedia

Systems and Control Letters, Volume 60 , pp. A class of Gaussian processes with fractional spectral measures. Journal of Functional Analysis, Volume , pp. Alpay, D. Levanony and A. Linear stochastic state space theory in the white noise space setting. Discrete-time multi-scale systems.

Integral Equations and Operator Theory, vol 68 issue 2 , pp.

Lewkowicz, An easy-to-compute factorization of rational generalized positive functions. System and Control Letters, vol 59, pp. Gohberg, M. Kaashoek, L. Lerer and A. Krein systems and canonical systems on a finite interval: accelerants with a jump discontinuity at the origin and continuous potentials.

On the characteristics of a class of Gaussian processes within the white noise space setting.

Stochastic Processes and their Applications, vol. Alpay and D. Linear stochastic systems: A white noise approach. Acta Applicandae Mathematicae, vol.