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The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau
The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau
Autore Bismut Jean-Michel
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2008
Descrizione fisica 1 online resource (378 p.)
Disciplina 515/.7242
Altri autori (Persone) LebeauGilles
Collana Annals of mathematics studies
Soggetto topico Differential equations, Hypoelliptic
Laplacian operator
Metric spaces
Soggetto non controllato Alexander Grothendieck
Analytic function
Asymptote
Asymptotic expansion
Berezin integral
Bijection
Brownian dynamics
Brownian motion
Chaos theory
Chern class
Classical Wiener space
Clifford algebra
Cohomology
Combination
Commutator
Computation
Connection form
Coordinate system
Cotangent bundle
Covariance matrix
Curvature tensor
Curvature
De Rham cohomology
Derivative
Determinant
Differentiable manifold
Differential operator
Dirac operator
Direct proof
Eigenform
Eigenvalues and eigenvectors
Ellipse
Embedding
Equation
Estimation
Euclidean space
Explicit formula
Explicit formulae (L-function)
Feynman–Kac formula
Fiber bundle
Fokker–Planck equation
Formal power series
Fourier series
Fourier transform
Fredholm determinant
Function space
Girsanov theorem
Ground state
Heat kernel
Hilbert space
Hodge theory
Holomorphic function
Holomorphic vector bundle
Hypoelliptic operator
Integration by parts
Invertible matrix
Logarithm
Malliavin calculus
Martingale (probability theory)
Matrix calculus
Mellin transform
Morse theory
Notation
Parameter
Parametrix
Parity (mathematics)
Polynomial
Principal bundle
Probabilistic method
Projection (linear algebra)
Rectangle
Resolvent set
Ricci curvature
Riemann–Roch theorem
Scientific notation
Self-adjoint operator
Self-adjoint
Sign convention
Smoothness
Sobolev space
Spectral theory
Square root
Stochastic calculus
Stochastic process
Summation
Supertrace
Symmetric space
Tangent space
Taylor series
Theorem
Theory
Torus
Trace class
Translational symmetry
Transversality (mathematics)
Uniform convergence
Variable (mathematics)
Vector bundle
Vector space
Wave equation
ISBN 1-282-45837-X
9786612458378
1-4008-2906-2
Classificazione SK 620
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles -- Chapter 2. The hypoelliptic Laplacian on the cotangent bundle -- Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel -- Chapter 4. Hypoelliptic Laplacians and odd Chern forms -- Chapter 5. The limit as t → +∞ and b → 0 of the superconnection forms -- Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics -- Chapter 7. The hypoelliptic torsion forms of a vector bundle -- Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula -- Chapter 9. A comparison formula for the Ray-Singer metrics -- Chapter 10. The harmonic forms for b → 0 and the formal Hodge theorem -- Chapter 11. A proof of equation (8.4.6) -- Chapter 12. A proof of equation (8.4.8) -- Chapter 13. A proof of equation (8.4.7) -- Chapter 14. The integration by parts formula -- Chapter 15. The hypoelliptic estimates -- Chapter 16. Harmonic oscillator and the J0 function -- Chapter 17. The limit of A'2φb,±H as b → 0 -- Bibliography -- Subject Index -- Index of Notation
Record Nr. UNINA-9910781084803321
Bismut Jean-Michel  
Princeton, : Princeton University Press, 2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Square Matrices of Order 2 : Theory, Applications, and Problems / Vasile Pop, Ovidiu Furdui ; Foreword by Dennis S. Bernstein
Square Matrices of Order 2 : Theory, Applications, and Problems / Vasile Pop, Ovidiu Furdui ; Foreword by Dennis S. Bernstein
Autore Pop, Vasile
Pubbl/distr/stampa Cham, : Springer, 2017
Descrizione fisica xxii, 370 p. : ill. ; 24 cm
Altri autori (Persone) Furdui, Ovidiu
Soggetto topico 40A05 - Convergence and divergence of series and sequences [MSC 2020]
40A30 - Convergence and divergence of series and sequences of functions [MSC 2020]
15Axx - Basic linear algebra [MSC 2020]
97I30 - Sequences and series (educational aspects) [MSC 2020]
97I50 - Integral calculus (educational aspects) [MSC 2020]
15Bxx - Special matrices [MSC 2020]
Soggetto non controllato Affine applications
Binomial matrix
Cayley-Hamilton theorem
Characteristic polynomial
Conics
Degenerate conics
Elementary transformations
Functions of matrices
Homographic sequences
Homothetic transformations
Jordan canonical theorem
Matrix Gamma function
Matrix Riemann zeta function
Matrix calculus
Nondegenerate conics
Pell's Diophantine equation
Powers of matrices
Problems matrix theory
Series mirabilis
Special matrices
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0123581
Pop, Vasile  
Cham, : Springer, 2017
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Square Matrices of Order 2 : Theory, Applications, and Problems / Vasile Pop, Ovidiu Furdui ; Foreword by Dennis S. Bernstein
Square Matrices of Order 2 : Theory, Applications, and Problems / Vasile Pop, Ovidiu Furdui ; Foreword by Dennis S. Bernstein
Autore Pop, Vasile
Pubbl/distr/stampa Cham, : Springer, 2017
Descrizione fisica xxii, 370 p. : ill. ; 24 cm
Altri autori (Persone) Furdui, Ovidiu
Soggetto topico 15Axx - Basic linear algebra [MSC 2020]
15Bxx - Special matrices [MSC 2020]
40A05 - Convergence and divergence of series and sequences [MSC 2020]
40A30 - Convergence and divergence of series and sequences of functions [MSC 2020]
97I30 - Sequences and series (educational aspects) [MSC 2020]
97I50 - Integral calculus (educational aspects) [MSC 2020]
Soggetto non controllato Affine applications
Binomial matrix
Cayley-Hamilton theorem
Characteristic polynomial
Conics
Degenerate conics
Elementary transformations
Functions of matrices
Homographic sequences
Homothetic transformations
Jordan canonical theorem
Matrix Gamma function
Matrix Riemann zeta function
Matrix calculus
Nondegenerate conics
Pell's Diophantine equation
Powers of matrices
Problems matrix theory
Series mirabilis
Special matrices
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00123581
Pop, Vasile  
Cham, : Springer, 2017
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui