Matemaattinen ja tilastollinen mallintaminen

Tutkimusaiheita

Matematiikka

• Algebraic curves and function fields over finite fields
• Algebraic number theory, character sums over finite fields 
• Algebraic coding theory, cyclic codes and algebraic geometry codes
• Bounded and unbounded operators in Hilbert, Pontryagin and Krein spaces 
• Boundary value problems, moment problems, interpolation problems
• Boundary triple and boundary pair techniques
• Classes of complex functions and their representations
• Lebesgue type decompositions for forms and linear operators
• Mathematical system theory in infinite-dimensional spaces
• Realization theory for discrete and continuous time systems
• Reproducing kernel spaces in Hilbert and Pontryagin space setting 
• Semibounded and sectorial forms and their representations
• Spectral theory and associated complex functions
• Weyl functions, transfer functions and their realizations

Talousmatematiikka

• Financial engineering
• Fractional Brownian motion
• Gaussian processes
• Mathematical finance
• Statistics of stochastic processes
• Stochastic analysis
• Volterra processes

Tilastotiede

• Financial econometrics and time series
• Financial event study methodology
• Multivariate statistics
• Non-parametric statistics
• Structural equation models

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Contributions to Mathematics and Statistics.
Essays in honor of Seppo Hassi

H.S.V. de Snoo & H.L. Wietsma (toim.)

Professori Seppo Hassin syntymäpäivän kunniaksi kirjoitettu juhlakirja sisältää 13 tieteellistä artikkelia. Kirja keskittyy kolmeen eri aiheeseen:  funktionaalinen analyysi ja operaattoriteoria, reuna-arvo-ongelmat, tilastotiede, stokastiikka ja matematiikan historia.

Acta Wasaensia 462. Vaasan yliopisto. 2021
Julkaisun pdf