On Wick calculus on spaces of nonregular generalized functions of Levy white noise analysis by N.A. Kachanovsky

“…Development of a theory of test and generalized functions depending on infinitely many variables is an important and actual problem, which is stipulated by requirements of physics and mathematics. …”
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Wick calculus on spaces of regular generalized functions of Levy white noise analysis by M.M. Frei

“…Using these generalizations, one can construct different spaces of test and generalized functions. And in any case it is necessary to introduce a natural product on spaces of generalized functions, and to study related topics. …”
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Traveling waves in a diffusive predator-prey model with general functional response by Zhaoquan Xu, Peixuan Weng

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Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions by Sergei Aliukov

“…The purpose of the article is to develop basic theoretical principles and practical approaches to modeling macroeconomic processes based on the analysis of jump and generalized functions. The objectives of the study are the following: (1) describe the main types of impulse and jump functions using examples from economic theory and practice; (2) perform an analytical representation of impulse and jump functions; (3) select macroeconomic characteristics to analyze rapidly changing processes in the economy; and (4) create models and mechanisms for forecasting impulsive and abrupt changes in the macroeconomy. …”
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Fourth Cumulant Bound of Multivariate Normal Approximation on General Functionals of Gaussian Fields by Yoon-Tae Kim, Hyun-Suk Park

“…In the case of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>, the method developed here shows that, even in the case of general functionals of Gaussian fields, the <i>fourth moment theorem</i> holds without conditions for the multi-dimensional case.…”
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Interior estimates in the sup-norm for a class of generalized functions with integral representations by Eusebio Ariza, Antonio Di Teodoro, Carmen Judith Vanegas Espinoza

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A contribute to theory of fractional integral operators for certain classes of generalized functions by Hasan M. Ymeri

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Time-related effects of general functional training in spinal cord-injured rats by Taisa Amoroso Bortolato Miranda, Juliana Mendes Yule Vicente, Raphael Martus Marcon, Alexandre Fogaça Cristante, Edgard Morya, Angela Cristina do Valle

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A Constrained Generalized Functional Linear Model for Multi-Loci Genetic Mapping by Jiayu Huang, Jie Yang, Zhangrong Gu, Wei Zhu, Song Wu

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Colombeau's theory and shock wave solutions for systems of PDEs by F. Villarreal

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Nonlinear algebraic analysis and applications : proceedings of the International Conference on Generalized Functions ICGF 2000 / by Delcroix, A.

Generalized Functional Pruning Optimal Partitioning (GFPOP) for Constrained Changepoint Detection in Genomic Data by Toby Dylan Hocking, Guillem Rigaill, Paul Fearnhead, Guillaume Bourque

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Setting a generalized functional linear model (GFLM) for the classification of different types of cancer by Miguel Flores, Guido Saltos, Sergio Castillo Páez

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The Internet and Generalized Functions of the Public Sphere: Transformative Potentials From a Comparative Perspective by Adrian Rauchfleisch, Marko Kovic

“…We identify four generalized functions: identity building, agenda-setting, control and criticism, and deliberation. …”
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Coexistence and extinction of a periodic stochastic predator–prey model with general functional response by Weiming Ji, Meiling Deng

“…Abstract This note deals with a stochastic predator–prey system with periodic coefficients and general functional response, and provides the threshold between coexistence and extinction. …”
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Operators of stochastic differentiation on spaces of nonregular generalized functions of Levy white noise analysis by N.A. Kachanovsky

“…In the present paper we make the next natural step: introduce and study operators of stochastic differentiation on spaces of nonregular generalized functions of the Levy white noise analysis (i.e., on spaces of generalized functions that belong to the so-called nonregular rigging of the space of square integrable with respect to the measure of a Levy white noise functions). …”
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Satisfaction with general functionality and safety of travel in relation to residential environment and satisfaction with transport modes by Hanne Tiikkaja, Heikki Liimatainen, Markus Pöllänen

“…Abstract The objective of this paper is to study 1) do people living in certain residential environments express more dissatisfaction with general functionality and safety of travel, 2) is dissatisfaction with general functionality and safety of travel related to dissatisfaction with certain transport modes, 3) is the residential environment related to mode-specific travel satisfaction mediated by satisfaction with general functionality and safety of travel, and 4) is dissatisfaction with general functionality and safety of travel related to use of different transport modes. …”
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Exponential type distributions and a generalized functional calculus for generators of $C_0$-groups by V. Ya. Lozynska

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δ-β-Gabor integral operators for a space of locally integrable generalized functions by Shrideh Khalaf Al-Omari, Dumitru Baleanu, Kottakkaran Sooppy Nisar

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Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type by V.V. Horodets'kyi, O.V. Martynyuk

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