Results 191 to 200 of about 253,625 (236)

SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS

Russian Mathematical Surveys, 1979
CONTENTS § 0. Introduction Chapter I. Selberg theory on a compact Riemann surface § 1. The Voronoi-Hardy formula § 2. Elementary spectral theory of automorphic functions § 3. The Selberg trace formula § 4. The Selberg zeta-function § 5. Refinement of the spectral theory of automorphic functions § 6. The problem of moduli Chapter 2.
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Mathematical Foundations of Resonant Monad Theory Part IV: Spectral Theory and Projection to 4D

This work develops the spectral foundations of Resonant Monad Theory (RM-Theory). Within the six-dimensional covariant framework introduced in earlier parts of this series, we analyze the coherence tensor and demonstrate that its spectral decomposition selects four dominant eigen-directions, forming a Lorentzian subspace.
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Mathematical Completion of Temporal Measure Theory: Infinite-Dimensional Spectral Extension, Functional Compactness, and Spectral Convergence

Temporal Measure Theory (TMT) reformulates time as a weak derivative of a spatial measure, introducing a unified geometric mechanism for the emergence of mass and energy.In this work we construct the rigorous mathematical completion of TMT, extending its spectral foundation to infinite-dimensional measure spaces and proving both functional compactness ...
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Spectral expansions and excursion theory for non-self-adjoint Markov semigroups with applications in mathematical finance

2017
This dissertation consists of three parts. In the first part, we establish a spectral theory in the Hilbert space L2(R+) of the C0-semigroup P and its adjoint bP having as generator, respectively, the Caputo and the right-sided Riemann-Liouville fractional derivatives of index 1 < alpha < 2.
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Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation

2017
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory ...
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Feather Mathematics: A Theory of Balance and Spectral Symmetry (Foundations & RH Operator Program)

Overview. Feather Mathematics is a balance-symmetry operator theory that unifies (i) a balance law with Ma’at “bands” for viability, (ii) audit invariants (duality & equilibrium), and (iii) a spectral calculus that frames inverse problems (including the Riemann Hypothesis, RH) as questions about operators and their determinant/traces.
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Mathematical Foundations of Temporal Measure Theory: Uniqueness, Spectral Generation, and Physical Consistency of Time Emergence

This paper presents a rigorous mathematical framework for the emergence of time based on \emph{Temporal Measure Theory} (TMT). Unlike conventional physics where time is postulated as a fundamental background parameter, TMT defines time as a \emph{weak derivative of a measure} on an abstract space $(\Omega, \mathcal{F}, \mu)$. Within this framework, the
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SPECTRAL THEORY AND DIFFERENTIAL OPERATORS (Oxford Mathematical Monographs)

Bulletin of the London Mathematical Society, 1989
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Spectral Theory and Mathematical Physics

2020
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HEAT KERNELS AND SPECTRAL THEORY: (Cambridge Tracts in Mathematics 92)

Bulletin of the London Mathematical Society, 1990
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