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State/Signal Linear Time-Invariant Systems Theory, Part IV: Affine and Generalized Transfer Functions of Discrete Time Systems
In the present article we continue to develop the linear discrete time-invariant state/signal systems theory that we have introduced and studied in...
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Existence of Lévy term structure models
Lévy driven term structure models have become an important subject in the mathematical finance literature. This paper provides a comprehensive...
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Mathematical Properties of Quantum Evolution Equations
This chapter focuses on the mathematical analysis of nonlinear quantum transport equations that appear in the modeling of nano-scale semi-conductor...
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Towards a Lie theory of locally convex groups
In this survey, we report on the state of the art of some of the fundamental problems in the Lie theory of Lie groups modeled on locally convex...
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The Inverse Spectral Problem for Self-Adjoint Hankel Operators
In §8.5 we have considered a geometric problem in the theory of stationary Gaussian processes and we have reduced this problem to the problem of the...
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Two-sided Tangential Interpolation for Hilbert-Schmidt Operator Functions on Polydisks
Bitangential interpolation problems are formulated for the class of Hilbert-Schmidt operator-valued functions, which are analytic on a polydisk and...
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Fixed Point and Related Theorems for Set-Valued Map**s
In this chapter, we focus in the discussion of fixed point theory for set, valued map**s by using Knaster-Kuratowski-Mazurkiewicz (KKM) principle...
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Image Processing and Fourier — Wavelet Methods
The image processing and signal analysis whose ingredients are modelling, transforms, smoothing and sharpening, restoration, encoding (image data...
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Function spaces on and of fractals
It is the main aim of this Chapter to discuss the seminal interrelation between fractals and function spaces. This paves the way to a substantial...
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Propagation of singularities for non-real pseudo-differential operators
The purpose of this work is to prove a theorem of propagation of singularities for a class of non-real pseudo-differential operator with multiple...
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Invariance Techniques in Spectral Estimation and Signal Processing
High-resolution signal parameter estimation is a problem of significance in many signal processing applications. Such applications include...
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Multivalued map**s
The present paper is a survey of the contemporary state of art in the theory of multivalued map**s. In it one considers different forms of...
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